Classification of generalized Alexander quandles

Akihiro Higashitani; Hirotake Kurihara; Jin Kosaka; Seiichi Kamada

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Classification of generalized Alexander quandles

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arxiv 2406.01074 v1 pith:CLUBOSCC submitted 2024-06-03 math.GT math.GR

Classification of generalized Alexander quandles

Akihiro Higashitani , Seiichi Kamada , Jin Kosaka , Hirotake Kurihara This is my paper

classification math.GT math.GR

keywords alexandergeneralizedquandlesautomorphismsgroupsisomorphismadditionallyarising

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The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms.

Classification of generalized Alexander quandles

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