Classification of generalized Alexander quandles

Akihiro Higashitani; Hirotake Kurihara; Jin Kosaka; Seiichi Kamada

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

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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.

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Classification of generalized Alexander quandles

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