Hayashi property for conjugation quandles over finite Coxeter groups

Dilpreet Kaur; Uday Bhaskar Sharma; Pushpendra Singh

Hayashi property for conjugation quandles over finite Coxeter groups

Group Theory 2026-07-04 v1

Authors: Dilpreet Kaur , Uday Bhaskar Sharma , Pushpendra Singh

Abstract

In this article, we show that for all finite irreducible Coxeter groups $G$ with a conjugation closed subset $C$ , the conjugation quandle $\rm{Conj}(G,C)$ satisfies the Hayashi property.

Keywords

Hayashi property conjugation quandle Coxeter groups finite irreducible

Cite

@article{arxiv.2607.03922,
  title  = {Hayashi property for conjugation quandles over finite Coxeter groups},
  author = {Dilpreet Kaur and Uday Bhaskar Sharma and Pushpendra Singh},
  journal= {arXiv preprint arXiv:2607.03922},
  year   = {2026}
}