Papers › Classification of generalized Alexander quandles

Classification of generalized Alexander quandles

3 Jun 2024arXiv:2406.01074links table onlyarchive 2025-07-28

Akihiro Higashitani, Seiichi Kamada, Jin Kosaka, Hirotake Kurihara

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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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