GF(2)-Representations of Finite Groups

DOI10.2307/2374202zbMath0497.20007OpenAlexW2041743159MaRDI QIDQ3961644

Michael Aschbacher

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374202

zbMATH Keywords

finite simple groupsinvolutionsalternating groupscomponentgroups of characteristic 2-type2-constrained groupsgroups of Lie-typeelementary abelian 2- subgroupfaithful GF(2)-module

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items (20)

Characteristic pairs for 2-groups ⋮ The other \(P(G,V)\)-theorem. ⋮ On quadratic GF(2)-modules for Chevalley groups over fields of odd order ⋮ Amalgams which involve sporadic simple groups. I ⋮ Minimal parabolic systems and small representations ⋮ Some results on pushing up in finite groups ⋮ Quadratic representations for groups of Lie type over fields of characteristic two. ⋮ Rank 2 amalgams related to the McLaughlin group, and to \(O_ 7(3)\) ⋮ A remark on Thompson's replacement theorem and a consequence ⋮ Finite groups of rank 3. II ⋮ Toward the -theorem ⋮ On Aschbacher's local \(C(G;T)\) theorem ⋮ Linear groups ⋮ Finite groups ⋮ \(c\)-extensions of \(P\)- and \(T\)-geometries ⋮ Some standard components of sporadic type ⋮ A condition for the existence of a weakly closed TI-set ⋮ The group E₆(q) and graphs with a locally linear group of automorphisms ⋮ Some aspects of finite linear groups: A survey ⋮ A pushing up result and some consequences for the embedding of 2- constrained subgroups

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