Mathematics > Group Theory
arXiv:2606.22244 (math)
[Submitted on 20 Jun 2026]
Abstract:A finite group G is called an ah-group if any two distinct conjugacy classes of G have distinct sizes. In this paper, we show that if G is an ah-group and \pi(G) \subseteq {2,3,5}, where \pi(G) denotes the set of prime divisors of |G|, then G \cong S_3.
Submission history
From: Wei Zhou [view email]
[v1]
Sat, 20 Jun 2026 22:01:48 UTC (26 KB)
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