March 12, 2024Open Access

Homogeneous quandles with commutative inner automorphism groups

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Resumen

In this paper, we give a characterization for homogeneous quandles with commutative inner automorphism groups. In particular, it is shown that such a quandle is expressed as an abelian extension of a trivial quandle. Our construction is a generalization of the recent work by Furuki and Tamaru, which gives the construction of disconnected flat quandles.

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Saito et al. (Tue,) studied this question.

synapsesocial.com/papers/68e747e0b6db6435876c0bf7 https://doi.org/https://doi.org/10.48550/arxiv.2403.07383

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1Homogeneous Quandles with Abelian Inner Automorphism Groups and Vertex-Transitive Graphs2024 · 2 citations
2Homogeneous quandles with abelian inner automorphism groups and vertex-transitive graphs2024

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