A lower bound for the number of conjugacy classes of finite groups

dc.creatorKeller, Thomas Michael
dc.date2007-08-16
dc.date.accessioned2026-07-07T08:24:02Z
dc.date.available2026-07-07T08:24:02Z
dc.descriptionIn 2000, L. Héthelyi and B. Külshammer proved that if $p$ is a prime number dividing the order of a finite solvable group $G$, then $G$ has at least $2\sqrt{p-1}$ conjugacy classes. In this paper we show that if $p$ is large, the result remains true for arbitrary finite groups.
dc.identifierhttps://arxiv.org/abs/0708.2281
dc.identifierhttp://arxiv.org/abs/0708.2281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136209
dc.subjectGroup Theory
dc.subject20E45
dc.titleA lower bound for the number of conjugacy classes of finite groups
dc.typetext

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