A note on the number of centralizers in finite AC-groups

DOI10.1142/s0219498823501426zbMath1522.20089OpenAlexW4214660789MaRDI QIDQ6108897

I. N. Nakaoka, Julio C. M. Pezzott

Publication date: 30 June 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823501426

zbMATH Keywords

centralizerconjugacy classFrobenius groupcommuting graphAC-group

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

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• Criteria for the solubility of finite groups by their centralizers.
• Groups with exactly ten centralizers
• Subgroup lattices of groups
• On groups whose commuting graph on a transversal is strongly regular
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• On Finite Groups with a Given Number of Centralizers
• Counting Centralizers in Finite Groups
• FINITE GROUPS WHOSE NONCENTRAL COMMUTING ELEMENTS HAVE CENTRALIZERS OF EQUAL SIZE
• Finite groups determined by the number of element centralizers
• On finite groups with nine centralizers
• Derived length and centralizers of groups
• On 9-centralizer groups
• Groups Whose Elements Have Bounded Orders
• On Finite Groups with Given Conjugate Types I
• On n-centralizer CA-groups
• Groups whose non-commuting graph on a transversal is planar or toroidal

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