Finite groups in which \(p'\)-classes have \(q'\)-length

DOI10.1007/BF02809893zbMath1005.20017OpenAlexW2042739811MaRDI QIDQ5935802

Silvio Dolfi, Maria Silvia Lucido

Publication date: 19 February 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02809893

zbMATH Keywords

conjugacy classessoluble groupsfinite groupsSylow subgroupsindexsemilinear affine groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Finite Groups with a Disconnectedp-Regular Conjugacy Class Graph ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ On the p -regular G-conjugacy classes with sizes 1 or minimal ⋮ Finite groups whose noncentral class sizes have the same \(p\)-part for some prime \(p\). ⋮ CONJUGACY CLASS SIZES OF CERTAIN DIRECT PRODUCTS ⋮ Certain relations between p-regular class sizes and the p-structure of p-solvable groups ⋮ On coprime \(G\)-conjugacy class sizes in a normal subgroup. ⋮ On \(p\)-regular \(G\)-conjugacy class sizes.

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