On solubility of groups with finitely many centralizers

DOI10.24330/ieja.1144159OpenAlexW4285492912MaRDI QIDQ5092505

Caio F. Rodrigues, Igor Lima

Publication date: 22 July 2022

Published in: International Electronic Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24330/ieja.1144159

zbMATH Keywords

centralizersimple group\(n\)-centralizer group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• On solubility of groups with finitely many centralizers.
• Nonsolvable groups with an automorphism inverting many elements
• Groups with exactly ten centralizers
• On 10-centralizer groups of odd order.
• ON NONCOMMUTING SETS AND CENTRALISERS IN INFINITE GROUPS
• On Finite Groups with a Given Number of Centralizers
• Counting Centralizers in Finite Groups
• Groups with the same number of centralizers
• On 9-centralizer groups

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