Classification of generalized Alexander quandles

Akihiro Higashitani; Seiichi Kamada; Jin Kosaka; Hirotake Kurihara

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arXiv · 2406.01074

Classification of generalized Alexander quandles

Akihiro Higashitani·Seiichi Kamada·Jin Kosaka·Hirotake Kurihara

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Abstract

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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Akihiro Higashitani, Seiichi Kamada, Jin Kosaka, Hirotake Kurihara. 2024-06-03. Classification of generalized Alexander quandles. https://arxiv.org/abs/2406.01074

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