Homogeneous quandles with abelian inner automorphism groups

Takuya Saito; Sakumi Sugawara

doi:10.1016/j.jalgebra.2024.09.004

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arXiv · 2403.07383

Homogeneous quandles with abelian inner automorphism groups

Takuya Saito·Sakumi Sugawara

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Abstract

In this paper, we give a characterization of homogeneous quandles with abelian inner automorphism groups. In particular, we show 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 a construction of disconnected flat quandles.

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Takuya Saito, Sakumi Sugawara. 2024-03-12. Homogeneous quandles with abelian inner automorphism groups. https://doi.org/10.1016/j.jalgebra.2024.09.004

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