On groups with an involution whose centralizer has finite rank

DOI10.1515/jgth.2001.042zbMath1012.20036OpenAlexW2041469901MaRDI QIDQ2776803

P. V. Shumyatskij

Publication date: 17 September 2002

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2001.042

zbMATH Keywords

involutionslocally finite groupsgroups of finite rankperiodic locally soluble groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Cites Work

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• Involutory automorphisms of finite groups and their centralizers
• A bound on the number of generators of a finite group
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• The Solution of a Problem of Kegel and Wehrfritz
• SPLITTING OVER THE LOCALLY NILPOTENT RESIDUAL FOR A CLASS OF LOCALLY FINITE GROUPS
• Endliche Gruppen I
• On the number of generators of a finite group

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