The average element order and the number of conjugacy classes of finite groups

DOI10.1016/j.jalgebra.2020.11.009zbMath1462.20010arXiv2009.08226OpenAlexW3110579084MaRDI QIDQ2216533

Alexander Moretó, Eugenii I. Khukhro, Mohammad Zarrin

Publication date: 16 December 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08226

zbMATH Keywords

nilpotent group\(p\)-groupelement ordersnumber of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (9)

Another criterion for supersolvability of finite groups ⋮ New criteria for solvability, nilpotency and other properties of finite groups in terms of the order elements or subgroups ⋮ Prime divisors and the number of conjugacy classes of finite groups ⋮ On groups with average element orders equal to the average order of the alternating group of degree \(5\) ⋮ Some density results involving the average order of a finite group ⋮ Multiplicities of character codegrees of finite groups ⋮ Another criterion for solvability of finite groups ⋮ Multiplicities of fields of values of irreducible characters of finite groups ⋮ On the average order of a finite group

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