❤️ Which Latin Squares Are Cayley Tables

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https://www.tandfonline.com/doi/abs/10.1080/00029890.1991.11995768
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https://proofwiki.org/wiki/Latin_Square_is_not_necessarily_Cayley_Table_of_Group
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https://web.northeastern.edu/suciu/MATH3175/latinsq.pdf
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https://www.researchgate.net/publication/240731834_Latin_Squares_in_a_Cayley_Table
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http://www.m-hikari.com/imf-password/13-16-2006/bkhosraviIMF13-16-2006-2.pdf
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https://dl.acm.org/doi/10.2307/2324930
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https://math.stackexchange.com/questions/170383/cayley-tables-for-any-order-n-there-is-some-latin-square-with-no-orthogonal-p
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http://web.math.ucsb.edu/~padraic/mathcamp_2012/latin_squares/MC2012_LatinSquares_lecture3.pdf
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https://www.sciencedirect.com/topics/mathematics/cayley-table
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https://www.miguelgondu.com/blogposts/2018-01-24/latin-squares-and-finite-groups/
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https://arxiv.org/pdf/1911.05912
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https://planetmath.org/exampleoflatinsquares
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https://people.wou.edu/~wardm/OrthogonalCayleySudokuMAA2013.pdf
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https://encyclopediaofmath.org/wiki/Latin_square
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https://ajc.maths.uq.edu.au/pdf/67/ajc_v67_p352.pdf
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https://users.monash.edu.au/~iwanless/papers/kplexesv9i1r12.pdf
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https://en.wikipedia.org/wiki/Small_Latin_squares_and_quasigroups
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https://commons.nmu.edu/cgi/viewcontent.cgi?article=1704&context=theses
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https://onlinelibrary.wiley.com/doi/abs/10.1002/jcd.21701
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http://www.maths.qmul.ac.uk/~lsoicher/designtheory.org/library/encyc/latinsq/g/
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https://www.springerprofessional.de/en/when-is-a-latin-square-based-on-a-group/16052422
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https://mathweb.ucsd.edu/~jwavrik/Math107B_s02/F2_jwoods.pdf
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https://paperswithcode.com/paper/small-partial-latin-squares-that-cannot-be
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https://www.physicsforums.com/threads/cayley-table-and-groups.417245/
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https://www.theoremoftheday.org/Statistics/Bailey/TotDBailey.pdf
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https://ieeexplore.ieee.org/document/5368514
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https://www.numerade.com/ask/question/is-the-12-x-12-cayley-table-of-multiplication-modulo-13-latin-square-circle-your-answer-yes-ho-briefly-explain-the-answer-by-referring-to-the-concepts-of-group-and-grupoid-b-the-following-tw-76271/
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41
http://oro.open.ac.uk/46376/
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https://divisbyzero.com/2009/02/11/is-this-the-cayley-table-of-a-group-part-2/
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https://typeset.io/topics/cayley-table-3tssqq8g/2017
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https://research.monash.edu/en/publications/latin-squares-with-maximal-partial-transversals-of-many-lengths
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https://dml.cz/bitstream/handle/10338.dmlcz/127005/MathSlov_17-1967-4_1.pdf
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http://www.scientificlib.com/en/Mathematics/LX/ProblemsInLatinSquares.html
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http://math.ucdenver.edu/~wcherowi/courses/m6406/latinsts.pdf
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https://www.wikiwand.com/en/Cayley_table
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https://www.anthonymorast.com/blog/2021/02/24/a-primer-on-latin-squares-with-some-research-objectives/
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https://users.math.msu.edu/users/halljo/research/prague.pdf
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http://bica.the-ica.org/Volumes/89//Reprints/BICA2020-04-Reprint.pdf
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https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2277&context=td
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https://www.quora.com/How-do-I-prove-that-every-group-table-is-a-Latin-square-that-is-each-element-of-the-group-appears-exactly-once-in-each-row-and-each-column
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https://www.bartleby.com/questions-and-answers/11.-prove-that-every-cayley-table-is-a-latin-square-for-a-group.-that-is-each-element-of-the-group-a/28b6ec18-4e15-452d-8265-6dd0920c8d31
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https://www.koreascience.or.kr/article/JAKO202209655110010.pdf
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https://zenodo.org/record/822372
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https://core.ac.uk/download/pdf/82621561.pdf
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http://poivs.tsput.ru/en/Biblio/Publication/83219/Text
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https://faculty.etsu.edu/gardnerr/Design-Theory/Beamer-Design-Theory-LR2/Proofs-LR2-2-2.pdf
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http://sina.sharif.edu/~emahmood/~files/papers/1805.06979.pdf
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http://science.marshall.edu/mummertc/latin2012/bfgms_latin.pdf
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http://www.quasigroups.eu/contents/download/2007/15_2_8.pdf
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https://www.irif.fr/~dolce/ens/2021/MPI-handout-4.pdf
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https://www.revistaproyecciones.cl/index.php/proyecciones/article/download/4314/3478/18412
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https://www.rhymezone.com/r/rhyme.cgi?typeofrhyme=wke&loc=defwk&Word=latin_square
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https://mathoverflow.net/questions/415514/latin-squares-with-one-cycle-type
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https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2C80187FB9F1B5FDF7CAC8278D6986FA/S0024609302001613a.pdf/latin-squares-and-the-hall-paige-conjecture.pdf
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https://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=1288&context=etd_all
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http://ccom.uprrp.edu/~labemmy/Wordpress/wp-content/uploads/2010/12/tech_report_2_final_draft.pdf
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https://oeis.org/A090741
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https://doc.sagemath.org/html/en/reference/combinat/sage/combinat/matrices/latin.html
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https://upcommons.upc.edu/bitstream/handle/2117/105914/Planas2252017BJMCS33945.pdf
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https://www.math.sk/knor/ABS/a075.htm
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https://d-nb.info/1216796718/34
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https://www.dcs.gla.ac.uk/~pat/cpM/jchoco/latinSquares/papers/transversurveyQRSfin.pdf
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https://www.arxiv-vanity.com/papers/2001.06711/
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http://www.ciphersbyritter.com/RES/LATSQ.HTM
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https://www.ajer.org/papers/v6(02)/H06024250.pdf
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https://meganrosebryant.files.wordpress.com/2015/04/hw4a.pdf
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC19005/
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https://www.cut-the-knot.org/arithmetic/latin2.shtml
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https://www.duhoctrungquoc.vn/wiki/en/Cayley_table
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https://prezi.com/82sacvtuuan6/magic-squares-latin-squares-and-sudoku/
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https://www.whitman.edu/mathematics/cgt_online/book/section04.03.html
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https://study.com/academy/lesson/how-to-make-a-cayley-table.html
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