Groups with the same number of centralizers

DOI10.1142/S0219498821500122WikidataQ126792765 ScholiaQ126792765MaRDI QIDQ4988198

K. Khoramshahi, Mohammad Zarrin

Publication date: 12 May 2021

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

Full work available at URL: https://arxiv.org/abs/1906.09424

zbMATH Keywords

centralizersimple groupisoclinic

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (5)

Characterizations of some groups in terms of centralizers ⋮ Counting centralizers and z-classes of some F-groups ⋮ On solubility of groups with finitely many centralizers ⋮ On groups with same number of centralizers ⋮ \(z\)-classes in groups: a survey

Uses Software

• GAP

Cites Work

• On solubility of groups with finitely many centralizers.
• Criteria for the solubility of finite groups by their centralizers.
• On element-centralizers in finite groups.
• On finite groups with a certain number of centralizers.
• Non-commuting graph of a group.
• ON NONCOMMUTING SETS AND CENTRALISERS IN INFINITE GROUPS
• Groups with a few nonabelian centralizers
• Counting Centralizers in Finite Groups
• Finite groups determined by the number of element centralizers
• Derived length and centralizers of groups

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