On 9-centralizer groups

DOI10.1142/S0219498815500036zbMath1314.20021OpenAlexW2014142863MaRDI QIDQ5498559

H. Madadi, H. Rostami, Seyyed Majid Jafarian Amiri

Publication date: 9 February 2015

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

Full work available at URL: https://doi.org/10.1142/s0219498815500036

zbMATH Keywords

finite groups\(n\)-centralizer groupsnumbers of centralizers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (11)

Centralizers in a group whose central factor is simple ⋮ On the maximum number of the pairwise noncommuting elements in a finite group ⋮ On solubility of groups with finitely many centralizers ⋮ A note on the number of centralizers in finite AC-groups ⋮ On groups with same number of centralizers ⋮ On capable groups of order p2q ⋮ The commuting conjugacy class graphs of finite groups with a given property ⋮ 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 ⋮ Finite groups determined by the number of element centralizers

Cites Work

• Criteria for the solubility of finite groups by their centralizers.
• On groups with an irredundant 7-cover.
• On element-centralizers in finite groups.
• Groups covered by finitely many cosets or subgroups
• Covering groups with subgroups
• On Finite Groups with a Given Number of Centralizers
• On $n$-Sum Groups.
• FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE

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