Homogeneous quandles with abelian inner automorphism groups
Geometric Topology
2025-07-02 v2 Combinatorics
Group Theory
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.
Keywords
Cite
@article{arxiv.2403.07383,
title = {Homogeneous quandles with abelian inner automorphism groups},
author = {Takuya Saito and Sakumi Sugawara},
journal= {arXiv preprint arXiv:2403.07383},
year = {2025}
}