On The Number of Conjugacy Classes of a Finite Solvable Group

DOI10.1112/S0024609300007499zbMath1024.20016OpenAlexW2130850200MaRDI QIDQ4520378

László Héthelyi, Burkhard Külshammer

Publication date: 13 December 2000

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

Full work available at URL: https://doi.org/10.1112/s0024609300007499

zbMATH Keywords

finite solvable groupsnumbers of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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

\(p\)-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, Problems on characters: solvable groups, Height zero characters in principal blocks, A lower bound for the number of conjugacy classes of a finite group., On the number of conjugacy classes of a finite solvable group. II., The average element order and the number of conjugacy classes of finite groups, Groups with few conjugacy classes, Finite groups with two conjugacy classes ofp-elements and related questions forp-blocks, Almost simple groups with long orbits in absolutely irreducible action., Lower bounds for the number of conjugacy classes of finite groups, On almost \(p\)-rational characters of \(p^{\prime}\)-degree