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Isoclinic groups and conjugacy quandles
[Submitted on 21 Jun 2026] · 2026-06-23 · via math updates on arXiv.org

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Abstract:We show that two finite isoclinic groups of the same order have isomorphic conjugacy quandles. We also show that the converse hold under some assumptions on the groups. It happens that isoclinsim of group of the same order is equivalent to having isomorphic quandles for groups of order $n<128$. We construct two non isoclinic groups of order $128$ having isomorphic conjugacy quandles.

Submission history

From: Mohamad Maassarani [view email]
[v1] Sun, 21 Jun 2026 15:20:20 UTC (10 KB)

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