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arXiv:2505.09194 [math.GR]AbstractReferencesReviewsResources

Beyond graph products and cactus groups: quandle products of groups

Anthony Genevois

Published 2025-05-14Version 1

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.

Comments: 50 pages, 26 figures. Comments are welcome!
Categories: math.GR, math.MG
Subjects: 20F65, 20F10, 20E22, 05C25
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