Zentralisatoren in lokal endlichen Gruppen vom Chevalley-Typ

DOI10.1007/BF01235770zbMath0544.20030OpenAlexW2014150957MaRDI QIDQ796647

Volker Turau

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235770

zbMATH Keywords

centralizersinfinite simple locally finite groupinfinite periodic linear simple groupSylow-q-subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Simple groups (20E32)

Related Items (4)

Locally finite groups containing a \(2\)-element with Chernikov centralizer. ⋮ ON THE CENTRALIZER OF AN ELEMENT OF ORDER FOUR IN A LOCALLY FINITE GROUP ⋮ Locally Finite Groups with Centralizers of Finite Rank ⋮ Zentralisatoren von p-Elementen in lokal endlichen Gruppen. (Centralizers of p-elements in locally finite groups)

Cites Work

• Maximal subgroups and automorphisms of Chevalley groups
• Semi-simple classes in Chevalley type groups
• 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
• Centralizers of Semisimple Elements in Finite Groups of Lie Type
• Endomorphisms of linear algebraic groups
• The orders of the linear groups
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