Solvable groups contain large centralizers

DOI10.1007/BF02772695zbMath0603.20015OpenAlexW2124890581MaRDI QIDQ1082435

I. M. Isaacs

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf02772695

zbMATH Keywords

centralizerssolvable groupscentreBrauer-Fowler theorem

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)

Related Items

Centralizers in finite solvable groups ⋮ Finite soluble groups with metabelian centralizers. ⋮ Nilpotent subgroups of finite soluble groups ⋮ Finite groups with small centralizers of word-values ⋮ Finite groups contain large centralizers

Cites Work

• On groups of even order
• Large centralizers in finite solvable groups
• Finite groups with large centralizers