On the Failure of the Thompson Factorization in 2-Constrained Groups

DOI10.1112/plms/s3-43.3.425zbMath0486.20011OpenAlexW2093481834MaRDI QIDQ3946333

Michael Aschbacher

Publication date: 1981

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-43.3.425

zbMATH Keywords

finite simple groupstranspositionsThompson subgroup2-local subgroupnatural moduleelementary abelian 2-subgroupscharacteristic 2-typeroot groups of transvections

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items

Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type, Failure of factorization modules for lie-type groups in odd characteristic, Some results on pushing up in finite groups, A remark on Thompson's replacement theorem and a consequence, On Aschbacher's local \(C(G;T)\) theorem, Finite groups, Tits geometries and parabolic systems in finitely generated groups. I