Zentralisatoren von p-Elementen in lokal endlichen Gruppen. (Centralizers of p-elements in locally finite groups)

zbMath0592.20045MaRDI QIDQ1075432

Volker Turau

Publication date: 1986

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1986__75__227_0

zbMATH Keywords

centralizerslocally finite groupsChevalley groupHirsch-Plotkin radicalChernikov groupminimum condition on p-subgroupslocally finite- soluble groupslocally-soluble with minimum condition on 2- subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (1)

Groups satisfying the double chain condition on non-abelian subgroups

Cites Work

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• Zentralisatoren in lokal endlichen Gruppen vom Chevalley-Typ
• Finite soluble groups containing an element of prime order whose centralizer is small
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• The Solution of a Problem of Kegel and Wehrfritz
• Endliche Gruppen I

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