A lower bound for the number of conjugacy classes of a finite group.

DOI10.1016/j.aim.2015.12.020zbMath1342.20038arXiv1411.0454OpenAlexW2230295862MaRDI QIDQ908091

Attila Maróti

Publication date: 2 February 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0454

zbMATH Keywords

numbers of conjugacy classesfinite groupsfinite simple groupsfinite linear groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

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The sub-class sizes of some elements being square free, \(p\)-regular conjugacy classes and \(p\)-rational irreducible characters, Bounding the number of classes of a finite group in terms of a prime, Prime divisors and the number of conjugacy classes of finite groups, On Héthelyi-Külshammer's conjecture for principal blocks, Problems on characters: solvable groups, Lower bound for the number of conjugacy classes and irreducible characters, The average element order and the number of conjugacy classes of finite groups, A lower bound for the number of odd-degree representations of a finite group, On almost \(p\)-rational characters of \(p^{\prime}\)-degree

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