Nilpotent injectors and conjugacy classes in solvable groups

DOI10.1017/S1446788700002986zbMath1001.20008OpenAlexW2104901362MaRDI QIDQ4531551

Geoffrey R. Robinson

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1017/s1446788700002986

zbMATH Keywords

numbers of conjugacy classesfinite soluble groupsFitting subgroupnilpotent injectors\(k(GV)\)-conjecture

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

On the commuting probability in finite groups. ⋮ On a conjecture of Gluck.

Cites Work

• On the number of conjugacy classes of a finite group
• p-Solvable Linear Groups of Finite Order
• Unnamed Item

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