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Google Keyword Rankings for : how many generators are there in a cyclic group
1
https://www.quora.com/How-many-generators-are-there-of-the-cyclic-group-of-order-12-have
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https://www.quora.com/How-many-generators-are-there-of-the-cyclic-group-of-order-12-have
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2
https://www.youtube.com/watch?v=PvPxrhooAEI
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https://www.youtube.com/watch?v=PvPxrhooAEI
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3
https://sites.millersville.edu/bikenaga/abstract-algebra-1/cyclic-groups/cyclic-groups.pdf
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https://sites.millersville.edu/bikenaga/abstract-algebra-1/cyclic-groups/cyclic-groups.pdf
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4
https://www.physicsforums.com/threads/how-many-generators-can-a-cyclic-group-have-by-definition.929804/
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https://www.physicsforums.com/threads/how-many-generators-can-a-cyclic-group-have-by-definition.929804/
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5
https://testbook.com/question-answer/the-number-of-generators-of-the-cyclic-group-g-of--61122b02616ffd1de3c8c160
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https://testbook.com/question-answer/the-number-of-generators-of-the-cyclic-group-g-of--61122b02616ffd1de3c8c160
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6
https://en.wikipedia.org/wiki/Cyclic_group
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https://en.wikipedia.org/wiki/Cyclic_group
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7
https://proofwiki.org/wiki/Generators_of_Infinite_Cyclic_Group
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https://proofwiki.org/wiki/Generators_of_Infinite_Cyclic_Group
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8
https://www.careers360.com/question-the-number-of-generator-of-cyclic-group-of-order-5-is
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https://www.careers360.com/question-the-number-of-generator-of-cyclic-group-of-order-5-is
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9
https://www.mathstat.dal.ca/~tkenney/3030/2012/midtermSols.pdf
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https://www.mathstat.dal.ca/~tkenney/3030/2012/midtermSols.pdf
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10
https://www.math.lsu.edu/~adkins/m4023/cyclicgp.pdf
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https://www.math.lsu.edu/~adkins/m4023/cyclicgp.pdf
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11
https://people.math.sc.edu/sumner/math546/ProblemSets/Problem_Set_14.pdf
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https://people.math.sc.edu/sumner/math546/ProblemSets/Problem_Set_14.pdf
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12
http://www.hanbommoon.net/wp-content/uploads/2014/01/Homework_Solution_4.pdf
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http://www.hanbommoon.net/wp-content/uploads/2014/01/Homework_Solution_4.pdf
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13
https://www.doc.ic.ac.uk/~mrh/330tutor/ch06.html
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https://www.doc.ic.ac.uk/~mrh/330tutor/ch06.html
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14
https://gateoverflow.in/125469/cyclic-group
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https://gateoverflow.in/125469/cyclic-group
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15
https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Applied_Discrete_Structures_(Doerr_and_Levasseur)/15%3A_Group_Theory_and_Applications/15.01%3A_Cyclic_Groups
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https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Applied_Discrete_Structures_(Doerr_and_Levasseur)/15%3A_Group_Theory_and_Applications/15.01%3A_Cyclic_Groups
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16
https://soulofmathematics.com/index.php/group-theory/cyclic-groups/
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https://soulofmathematics.com/index.php/group-theory/cyclic-groups/
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17
https://mathworld.wolfram.com/CyclicGroup.html
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https://mathworld.wolfram.com/CyclicGroup.html
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18
https://www.math.umd.edu/~immortal/MATH403/lecturenotes/ch4.pdf
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https://www.math.umd.edu/~immortal/MATH403/lecturenotes/ch4.pdf
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19
https://sites.math.washington.edu/~palmieri/Courses/2005/Math403/sample-portfolio.pdf
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https://sites.math.washington.edu/~palmieri/Courses/2005/Math403/sample-portfolio.pdf
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20
https://www.math.uci.edu/~ndonalds/math120a/3cyclic.pdf
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https://www.math.uci.edu/~ndonalds/math120a/3cyclic.pdf
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21
https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2011/06/MA231-2.2.2.pdf
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https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2011/06/MA231-2.2.2.pdf
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22
https://kconrad.math.uconn.edu/blurbs/grouptheory/cyclicgp.pdf
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https://kconrad.math.uconn.edu/blurbs/grouptheory/cyclicgp.pdf
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23
https://math.dartmouth.edu/~carlp/rademacherlecture2.pdf
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https://math.dartmouth.edu/~carlp/rademacherlecture2.pdf
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24
https://faculty.cc.gatech.edu/~aboldyre/teaching/Fall05cs6260/numbertheoryhandouts.pdf
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https://faculty.cc.gatech.edu/~aboldyre/teaching/Fall05cs6260/numbertheoryhandouts.pdf
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25
https://www.math.drexel.edu/~rboyer/courses/math533_03/hw2_soln.pdf
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https://www.math.drexel.edu/~rboyer/courses/math533_03/hw2_soln.pdf
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26
https://people.eecs.berkeley.edu/~jfc/cs174lecs/lec23/lec23.pdf
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https://people.eecs.berkeley.edu/~jfc/cs174lecs/lec23/lec23.pdf
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27
https://mathshrc.com/Journal/articles/a4/a4.html
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https://mathshrc.com/Journal/articles/a4/a4.html
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28
https://edurev.in/question/1809519/The-number-of-generators-in-cyclic-group-of-order-
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https://edurev.in/question/1809519/The-number-of-generators-in-cyclic-group-of-order-
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29
https://stackoverflow.com/questions/40727347/cyclic-group-generator-of-1-2-3-4-5-6-under-modulo-7-multiplication
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https://stackoverflow.com/questions/40727347/cyclic-group-generator-of-1-2-3-4-5-6-under-modulo-7-multiplication
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30
https://www.math.uwaterloo.ca/~snew/pmath347-2019-F/Notes/chap2.pdf
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https://www.math.uwaterloo.ca/~snew/pmath347-2019-F/Notes/chap2.pdf
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31
https://homework.study.com/explanation/how-to-find-generators-of-cyclic-group-of-order-6.html
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https://homework.study.com/explanation/how-to-find-generators-of-cyclic-group-of-order-6.html
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32
https://citizenchoice.in/course/Discrete-Structures-and-Theory-of-Logic/Unit%202-%20DSTL/Cyclic-Group-Cosets-Lagranges-Theorem-1
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https://citizenchoice.in/course/Discrete-Structures-and-Theory-of-Logic/Unit%202-%20DSTL/Cyclic-Group-Cosets-Lagranges-Theorem-1
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33
https://pi.math.cornell.edu/~mathclub/Media/mult-grp-cyclic-az.pdf
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https://pi.math.cornell.edu/~mathclub/Media/mult-grp-cyclic-az.pdf
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34
https://www.ms.uky.edu/~corso/teaching/math361/MIDTERM2_answers.pdf
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https://www.ms.uky.edu/~corso/teaching/math361/MIDTERM2_answers.pdf
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35
https://static1.squarespace.com/static/5590b6aee4b09d60c5d96e4e/t/5590bdf8e4b0927589e62272/1435549176865/What+is+a+group%3F.pdf
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https://static1.squarespace.com/static/5590b6aee4b09d60c5d96e4e/t/5590bdf8e4b0927589e62272/1435549176865/What+is+a+group%3F.pdf
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36
https://mathweb.ucsd.edu/~cpopescu/Winter2018/103A/Hw7-103A.pdf
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https://mathweb.ucsd.edu/~cpopescu/Winter2018/103A/Hw7-103A.pdf
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37
https://www.geeksforgeeks.org/generators-finite-cyclic-group-addition/
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https://www.geeksforgeeks.org/generators-finite-cyclic-group-addition/
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38
https://yutsumura.com/prove-that-a-group-of-order-217-is-cyclic-and-find-the-number-of-generators/
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https://yutsumura.com/prove-that-a-group-of-order-217-is-cyclic-and-find-the-number-of-generators/
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39
https://crypto.stanford.edu/pbc/notes/numbertheory/gen.html
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https://crypto.stanford.edu/pbc/notes/numbertheory/gen.html
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40
https://aip.scitation.org/doi/pdf/10.1063/1.5112304
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https://aip.scitation.org/doi/pdf/10.1063/1.5112304
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41
http://homepages.math.uic.edu/~bshipley/midterm1.soln.f08.pdf
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http://homepages.math.uic.edu/~bshipley/midterm1.soln.f08.pdf
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42
https://mathcs.holycross.edu/~dbd/math243-16/handouts/quiz7ssols.pdf
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https://mathcs.holycross.edu/~dbd/math243-16/handouts/quiz7ssols.pdf
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43
https://vedatsiapalgebra.files.wordpress.com/2012/02/studentnotes3-4.pdf
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https://vedatsiapalgebra.files.wordpress.com/2012/02/studentnotes3-4.pdf
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44
https://quizlet.com/explanations/questions/how-many-elements-of-the-cyclic-group-gf81-are-generators-9b7d591a-57e5-4cf2-aa88-68428dd36493
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https://quizlet.com/explanations/questions/how-many-elements-of-the-cyclic-group-gf81-are-generators-9b7d591a-57e5-4cf2-aa88-68428dd36493
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45
https://www.chegg.com/homework-help/questions-and-answers/u-10-cyclic-group-many-generators-q58050563
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https://www.chegg.com/homework-help/questions-and-answers/u-10-cyclic-group-many-generators-q58050563
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46
https://linearalgebras.com/solution-abstract-algebra-exercise-2-3-3.html
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https://linearalgebras.com/solution-abstract-algebra-exercise-2-3-3.html
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47
http://math.colorado.edu/~casa/teaching/11spring/3140/exams/practicemidtermIsols.pdf
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http://math.colorado.edu/~casa/teaching/11spring/3140/exams/practicemidtermIsols.pdf
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48
https://www.bartleby.com/questions-and-answers/for-g-z5-s-how-many-generators-of-the-cyclic-group-g-5.a-o-1.b-o-3.c-o-4.d-o-2.e-o/fc67ea91-80de-40a9-abd7-b1f8bb503250
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https://www.bartleby.com/questions-and-answers/for-g-z5-s-how-many-generators-of-the-cyclic-group-g-5.a-o-1.b-o-3.c-o-4.d-o-2.e-o/fc67ea91-80de-40a9-abd7-b1f8bb503250
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49
https://byjus.com/question-answer/the-number-of-generators-of-an-infinite-cyclic-group-is/
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https://byjus.com/question-answer/the-number-of-generators-of-an-infinite-cyclic-group-is/
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50
https://www.reddit.com/r/math/comments/kw3wn/difference_between_a_cyclic_group_and_a_generator/
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https://www.reddit.com/r/math/comments/kw3wn/difference_between_a_cyclic_group_and_a_generator/
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51
http://www.math.toronto.edu/payman/fall2018/Assignment-3-Solutions.pdf
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http://www.math.toronto.edu/payman/fall2018/Assignment-3-Solutions.pdf
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52
https://www.numerade.com/ask/question/2-a-let-g-x-be-a-cyclic-group-of-order-24-what-is-210-2-ii-let-h-z6-_-list-all-the-elements-of-h-how-many-generators-does-h-have-4-b-let-d1s-rs-0-i-80-j-1-be-the-dihedral-group-of-order-18-w-48427/
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53
https://www.ee.iitb.ac.in/~sarva/courses/EE605/2014/slides/FiniteGroups.pdf
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https://www.ee.iitb.ac.in/~sarva/courses/EE605/2014/slides/FiniteGroups.pdf
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54
https://astarmathsandphysics.com/university-maths-notes/abstract-algebra-and-group-theory/1695-generators-of-cyclic-groups.html
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https://astarmathsandphysics.com/university-maths-notes/abstract-algebra-and-group-theory/1695-generators-of-cyclic-groups.html
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55
http://ramanujan.math.trinity.edu/rdaileda/teach/s18/m3341/ZnZ.pdf
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http://ramanujan.math.trinity.edu/rdaileda/teach/s18/m3341/ZnZ.pdf
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56
https://www.scribd.com/document/101449843/Generator-of-Group-of-Order-60
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https://www.scribd.com/document/101449843/Generator-of-Group-of-Order-60
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57
https://web.northeastern.edu/suciu/MATH3175/MATH3175-fa10-sol2.pdf
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https://web.northeastern.edu/suciu/MATH3175/MATH3175-fa10-sol2.pdf
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58
https://mathoverflow.net/questions/265260/how-many-generators-does-a-direct-product-of-alternating-groups-need
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https://mathoverflow.net/questions/265260/how-many-generators-does-a-direct-product-of-alternating-groups-need
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59
https://faculty.etsu.edu/gardnerr/4127/notes/I-6.pdf
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https://faculty.etsu.edu/gardnerr/4127/notes/I-6.pdf
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60
https://people.reed.edu/~jerry/332/05cygps.pdf
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https://people.reed.edu/~jerry/332/05cygps.pdf
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61
https://academickids.com/encyclopedia/index.php/Cyclic_group
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https://academickids.com/encyclopedia/index.php/Cyclic_group
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62
http://people.hws.edu/mitchell/math375/ans11.pdf
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http://people.hws.edu/mitchell/math375/ans11.pdf
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63
https://www.nbccomedyplayground.com/what-is-the-number-of-generators-for-a-cyclic-group-z-12-12/
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https://www.nbccomedyplayground.com/what-is-the-number-of-generators-for-a-cyclic-group-z-12-12/
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64
https://www.emathzone.com/tutorials/group-theory/properties-of-cyclic-groups.html
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https://www.emathzone.com/tutorials/group-theory/properties-of-cyclic-groups.html
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65
https://www.math.uh.edu/~klaus/cyclic_groups.pdf
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https://www.math.uh.edu/~klaus/cyclic_groups.pdf
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66
https://www.competoid.com/quiz_answers/14-0-61633/Question_answers/
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https://www.competoid.com/quiz_answers/14-0-61633/Question_answers/
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67
https://ict.iitk.ac.in/wp-content/uploads/CS203-Mathematics-for-Computer-Science-III-cyclicgp.pdf
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https://ict.iitk.ac.in/wp-content/uploads/CS203-Mathematics-for-Computer-Science-III-cyclicgp.pdf
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68
https://uomustansiriyah.edu.iq/media/lectures/12/12_2020_03_05!10_59_13_AM.pdf
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https://uomustansiriyah.edu.iq/media/lectures/12/12_2020_03_05!10_59_13_AM.pdf
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69
https://www.researchgate.net/publication/311589005_Cyclic_Groups
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https://www.researchgate.net/publication/311589005_Cyclic_Groups
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70
http://www.math.clemson.edu/~macaule/classes/m18_math4120/slides/math4120_lecture-2-01_h.pdf
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http://www.math.clemson.edu/~macaule/classes/m18_math4120/slides/math4120_lecture-2-01_h.pdf
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71
https://brainly.in/question/34297259
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https://brainly.in/question/34297259
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72
https://scoop.eduncle.com/1n-how-many-generators-are-there-in-the-cyclic-group-of-order-15-2-show-that-the-set-of-all-2x2-matrices
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73
https://people.brandeis.edu/~jbellaic/intro_algebra/midterm1sol.pdf
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https://people.brandeis.edu/~jbellaic/intro_algebra/midterm1sol.pdf
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74
https://wikis.uit.tufts.edu/confluence/download/attachments/28159306/solHW6.pdf
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https://wikis.uit.tufts.edu/confluence/download/attachments/28159306/solHW6.pdf
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75
http://www.math.columbia.edu/~rf/numbertheory2.pdf
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http://www.math.columbia.edu/~rf/numbertheory2.pdf
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76
https://people.math.carleton.ca/~mezo/Test2solmath21-13.pdf
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https://people.math.carleton.ca/~mezo/Test2solmath21-13.pdf
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77
https://math.usask.ca/~fvk/aa04ss2.pdf
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https://math.usask.ca/~fvk/aa04ss2.pdf
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78
https://www.maths.tcd.ie/pub/ims/bull50/R5006.pdf
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https://www.maths.tcd.ie/pub/ims/bull50/R5006.pdf
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79
https://www.techiedelight.com/program-find-generators-of-cyclic-group/
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https://www.techiedelight.com/program-find-generators-of-cyclic-group/
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80
https://www.coursehero.com/file/15929335/CyclicGroupProblems/
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https://www.coursehero.com/file/15929335/CyclicGroupProblems/
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81
https://pages.cs.wisc.edu/~rist/838-spring-2012/slides/s-cnt.pdf
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https://pages.cs.wisc.edu/~rist/838-spring-2012/slides/s-cnt.pdf
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82
http://www.karlin.mff.cuni.cz/~ruzicka/algebra19z/lecture8.pdf
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http://www.karlin.mff.cuni.cz/~ruzicka/algebra19z/lecture8.pdf
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83
https://www.math.wustl.edu/~beheshti/430-ps1-3-solutions
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https://www.math.wustl.edu/~beheshti/430-ps1-3-solutions
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84
https://ekofajarcahyadi.dosen.ittelkom-pwt.ac.id/2020/06/09/cyclic-groups-and-generators/
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https://ekofajarcahyadi.dosen.ittelkom-pwt.ac.id/2020/06/09/cyclic-groups-and-generators/
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85
https://www.math.purdue.edu/~arapura/preprints/algebra9.pdf
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https://www.math.purdue.edu/~arapura/preprints/algebra9.pdf
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86
http://educ.jmu.edu/~willi5cl/MATH_430_Fa14_files/LecturenotesPart3.pdf
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http://educ.jmu.edu/~willi5cl/MATH_430_Fa14_files/LecturenotesPart3.pdf
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87
https://www.jstor.org/stable/24340594
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https://www.jstor.org/stable/24340594
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88
https://www.slideshare.net/cerverajrtony/chapter-4-cyclic-groups
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89
https://faculty.math.illinois.edu/~reznick/417F20hw3sol.pdf
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90
https://slideplayer.com/slide/4976054/
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91
http://campus.lakeforest.edu/trevino/Spring2020/Math330/PracticeExam1Solutions.pdf
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92
http://www.fact-index.com/c/cy/cyclic_group.html
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http://www.fact-index.com/c/cy/cyclic_group.html
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93
https://arxiv.org/pdf/2107.02257
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https://arxiv.org/pdf/2107.02257
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94
http://site.iugaza.edu.ps/mabhouh/files/2011/01/alg1-ch4.pdf
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95
https://www.shivajicollege.ac.in/sPanel/uploads/econtent/d716b8a1f53aff6a999dfb46b1711cf9.pdf
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96
https://staracademica.files.wordpress.com/2013/12/3-4_cyclic-groups2.pdf
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