Mutually permutable products and conjugacy classes.

DOI10.1007/s00605-012-0411-zzbMath1275.20015OpenAlexW2068699021MaRDI QIDQ1955625

John Cossey, Adolfo Ballester-Bolinches, Yang Ming Li

Publication date: 17 June 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0411-z

zbMATH Keywords

conjugacy classesfinite groups\(p\)-regular elementsmutually permutable productsmutually permutable subgroupsconjugacy class lengths

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) Products of subgroups of abstract finite groups (20D40)

Related Items

Square-free class sizes in products of groups ⋮ Prime power indices in factorised groups ⋮ On products of groups and indices not divisible by a given prime ⋮ Zeros of irreducible characters in factorised groups ⋮ On solvable groups with one vanishing class size ⋮ On the structure of a mutually permutable product of finite groups ⋮ On finite groups with square-free conjugacy class sizes ⋮ Products of groups and class sizes of \(\pi \)-elements ⋮ On sub-class sizes of mutually permutable products

Cites Work

• Unnamed Item
• Products of finite groups.
• On the length of the conjugacy classes of finite groups
• Finite soluble groups
• Notes on the length of conjugacy classes of finite groups.
• Mutually permutable subgroups and group classes.
• Group classes and mutually permutable products.
• Endliche Gruppen I