A Bound on the Number of Conjugacy Classes of a Finite Soluble Group

DOI10.1112/jlms/s2-36.2.229zbMath0597.20016OpenAlexW2077580975MaRDI QIDQ3729150

Mark Cartwright

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-36.2.229

zbMATH Keywords

primitive linear groupsnumber of conjugacy classesfinite nilpotent groupfinite soluble groupsoluble primitive permutation groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (4)

Landau’s theorem on conjugacy classes for normal subgroups ⋮ Lower bounds for the number of conjugacy classes in finite solvable groups ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ Conjugacy classes in finite groups

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