Weak closure in finite groups of even characteristic

DOI10.1016/0021-8693(81)90236-2zbMath0472.20006OpenAlexW2074547524MaRDI QIDQ1158242

Michael Aschbacher

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90236-2

zbMATH Keywords

finite simple groupsweak closuremaximal 2-local subgroupfinite group of characteristic 2 typeelementary abelian TI-subgroupsexistence of factorizationsnormal elementary abelian 2-subgroupquasithin groups

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Classifying the finite simple groups ⋮ On finite groups of Lie type and odd characteristic ⋮ Finite groups ⋮ A condition for the existence of a weakly closed TI-set

Cites Work

• A note on 2-groups of GF(\(2^n\))-type
• The uniqueness case for finite groups. I, II
• Endliche Gruppen, die eine maximale 2-lokale Untergruppe besitzen, so daß \(Z(F^*(M))\) eine TI-Menge in G ist
• On finite groups of Lie type and odd characteristic
• A characterization of some Chevalley groups in characteristic two
• Finite groups of rank 3. II
• Groups with weakly closed TI-subgroups
• On finite groups of component type
• Nonsolvable finite groups all of whose local subgroups are solvable. VI
• Groups generated by root-involutions. II
• On the structure of 2-local subgroups of finite groups
• On finite groups generated by odd transpositions. IV
• Standard components of alternating type centralized by a 4-group.
• Finite groups with a split BN-pair of rank 1. I
• On Finite Groups in Which a Maximal Abelian Normal Subgroup of Some Maximal 2-Local Subgroup is a Ti-Set
• A Factorization Theorem for 2-Constrained Groups
• Transitive Permutation Groups in Which an Involution Central in a Sylow 2-Subgroup Fixes a Unique Point
• Endliche Gruppen I

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