Beyond graph products and cactus groups: quandle products of groups
Group Theory
2025-05-15 v1 Metric Geometry
Abstract
In this paper, we introduce and initiate the study of quandle products of groups, a family of groups that includes graph products of groups, cactus groups, wreath products, and the recently introduced trickle groups. Our approach is geometric: we show that quandle products admit quasi-median Cayley graphs; and, then, we exploit this geometry to deduce various valuable information about quandle products.
Cite
@article{arxiv.2505.09194,
title = {Beyond graph products and cactus groups: quandle products of groups},
author = {Anthony Genevois},
journal= {arXiv preprint arXiv:2505.09194},
year = {2025}
}
Comments
50 pages, 26 figures. Comments are welcome!