Coprime action and arithmetical conditions on invariant conjugacy classes.

DOI10.1007/s11425-015-5007-3zbMath1343.20034OpenAlexW1966674944WikidataQ59255717 ScholiaQ59255717MaRDI QIDQ2629795

Changguo Shao, Antonio Beltrán Felip

Publication date: 7 July 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5007-3

zbMATH Keywords

finite groupssolvabilitycoprime actionsconjugacy class sizesgroup actions on groups

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) Automorphisms of abstract finite groups (20D45)

Related Items

On finite groups with square-free conjugacy class sizes

Uses Software

• GAP

Cites Work

• Real characters and degrees.
• On the length of the conjugacy classes of finite groups
• Primes dividing the degrees of the real characters.
• Character theory of finite groups
• Actions with nilpotent fixed point subgroup
• The theory of finite groups. An introduction.
• On a graph associated to invariant conjugacy classes of finite groups.
• Finite groups whose noncentral class sizes have the same \(p\)-part for some prime \(p\).
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• Implications of conjugacy class size
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group
• Finite groups with real conjugacy classes of prime size.