English

On Core Quandles

Group Theory 2025-03-04 v1

Abstract

We characterize several properties of core quandles in terms of the properties of their underlying groups. Specifically, we characterize connected cores providing an answer to an open question in \cite{saito} and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.

Cite

@article{arxiv.2503.01790,
  title  = {On Core Quandles},
  author = {Filippo Spaggiari and Marco Bonatto},
  journal= {arXiv preprint arXiv:2503.01790},
  year   = {2025}
}

Comments

16 pages, 1 figure

R2 v1 2026-06-28T22:05:02.997Z