Connected quandles and transitive groups

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• 作者：Alexander Hulpke^a ; ^{hulpke@math.colostate.edu" class="auth_mail" title="E-mail the corresponding author} ; David Stanovský ; ^b ; ^c ; ^{stanovsk@karlin.mff.cuni.cz" class="auth_mail" title="E-mail the corresponding author} ; Petr Vojt臎chovský ; ^c ; ^{petr@math.du.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Primary ; 57M27 ; secondary ; 20N02 ; 20B10
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：220
• 期：2
• 页码：735-758
• 全文大小：589 K

文摘

We establish a canonical correspondence between connected quandles and certain configurations in transitive groups, called quandle envelopes. This correspondence allows us to efficiently enumerate connected quandles of small orders, and present new proofs concerning connected quandles of order p and 2p. We also present a new characterization of connected quandles that are affine.