On groups in which the centralizer of an involution satisfies min-\(\pi\)

DOI10.1007/BF00974507zbMath0795.20020MaRDI QIDQ1174018

P. V. Shumyatskij

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

involutionChernikov groupslocally finite groupderived lengthsubgroup of finite indexperiodic almost locally soluble group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Local properties of groups (20E25)

Cites Work

• Periodic groups in which the centralizer of an involution has bounded order
• Locally finite groups with Cernikov centralizers
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• The Solution of a Problem of Kegel and Wehrfritz
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