Derived length and centralizers of groups

DOI10.1142/S0219498815501339zbMath1325.20027MaRDI QIDQ5255753

Mohammad Zarrin

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

centralizersderived lengths\(n\)-centralizer groups

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) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) General structure theorems for groups (20E34) FC-groups and their generalizations (20F24)

Related Items (10)

Centralizers in a group whose central factor is simple ⋮ Characterizations of some groups in terms of centralizers ⋮ Counting centralizers and z-classes of some F-groups ⋮ A note on the number of centralizers in finite AC-groups ⋮ ON NONCOMMUTING SETS AND CENTRALISERS IN INFINITE GROUPS ⋮ A generalization of Neumann's question ⋮ Finite groups determined by the number of element centralizers ⋮ On the set of same-size conjugate classes ⋮ \(z\)-classes in groups: a survey ⋮ Groups with the same number of centralizers

Cites Work

• Criteria for the solubility of finite groups by their centralizers.
• On element-centralizers in finite groups.
• Groups covered by finitely many cosets or subgroups
• On Finite Groups with a Given Number of Centralizers
• Groups Covered By Permutable Subsets

This page was built for publication: Derived length and centralizers of groups