ON THE NUMBER OF CONJUGACY CLASSES IN FINITE $p$-GROUPS

DOI10.1112/S002461070300454XzbMath1062.20020OpenAlexW2151155118MaRDI QIDQ4819577

Andrei Jaikin-Zapirain

Publication date: 27 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002461070300454x

zbMATH Keywords

numbers of conjugacy classesfinite \(p\)-groupspro-\(p\) groupsopen normal subgroupsconjugacy growth functionsexponential conjugacy growthfinite quotients of the Nottingham groupsubgroup growth functions

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items (7)

Complex group algebras of finite groups: Brauer's problem 1. ⋮ Methods and questions in character degrees of finite groups ⋮ Representation growth of linear groups ⋮ Multiplicities of conjugacy class sizes of finite groups. ⋮ On the number of conjugacy classes of finite nilpotent groups. ⋮ Complex group algebras of finite groups: Brauer’s Problem 1 ⋮ Lower bounds for representation growth

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