On solubility of groups with finitely many centralizers.

zbMath1303.20027arXiv1205.0643MaRDI QIDQ459224

Mohammad Zarrin

Publication date: 8 October 2014

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

Full work available at URL: https://arxiv.org/abs/1205.0643

zbMATH Keywords

soluble groupsfinite groupssolubility\(n\)-centralizer groupsnumbers of centralizers

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)

Related Items (11)

Centralizers in a group whose central factor is simple ⋮ Characterizations of some groups in terms of centralizers ⋮ On finite groups with nine centralizers ⋮ On solubility of groups with finitely many centralizers ⋮ Unnamed Item ⋮ On capable groups of order p2q ⋮ Counting the number of centralizers of 2-element subsets in a finite group ⋮ Finite groups in which the centralizer of every noncentral element of odd order is abelian ⋮ Groups with exactly ten centralizers ⋮ On 10-centralizer groups of odd order. ⋮ Groups with the same number of centralizers

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