On finite groups with a certain number of centralizers.

DOI10.1007/BF02936050zbMath1066.20028OpenAlexW2143763772MaRDI QIDQ1767380

Bijan Taeri, Ali Reza Ashrafi

Publication date: 10 March 2005

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02936050

zbMATH Keywords

finite simple groupssolvable groupsnumbers of centralizersprimitive \(n\)-centralizer groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (17)

Centralizers in a group whose central factor is simple ⋮ On finite groups with nine centralizers ⋮ On groups with same number of centralizers ⋮ On capable groups of order p2q ⋮ Counting the number of centralizers of 2-element subsets in a finite group ⋮ A characterization of 4-centralizer groups. ⋮ On finite groups with a given number of exterior centralizers ⋮ Groups with exactly ten centralizers ⋮ Finite groups with a given number of relative centralizers ⋮ Acentralizers of Abelian groups of rank 2 ⋮ On 10-centralizer groups of odd order. ⋮ Finite groups determined by the number of element centralizers ⋮ Lie algebras with few centralizers ⋮ Groups with the same number of centralizers ⋮ On Finite n-Acentralizer Groups ⋮ On element-centralizers in finite groups. ⋮ On n-centralizer CA-groups

Uses Software

• GAP

Cites Work

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• Sporadic simple subgroups of finite exceptional groups of Lie type
• Groups covered by finitely many cosets or subgroups
• On Finite Groups with a Given Number of Centralizers
• Counting Centralizers in Finite Groups
• On $n$-Sum Groups.
• Endliche Gruppen I
• Groups Covered By Permutable Subsets
• Matrix generators for exceptional groups of Lie type

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