June 3, 2024Open Access

Classification of generalized Alexander quandles

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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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Cite This Study

Higashitani et al. (Mon,) studied this question.

synapsesocial.com/papers/68e66840b6db6435875f4531 https://doi.org/https://doi.org/10.48550/arxiv.2406.01074

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