On Aschbacher's local \(C(G;T)\) theorem

DOI10.1007/BF02808113zbMath0790.20029MaRDI QIDQ689853

Daniel Gorenstein, Richard Lyons

Publication date: 27 June 1994

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

zbMATH Keywords

\(K\)-grouprevisionclassification of finite simple groups\(\chi\)-blocksAschbacher blocksBaumann-Glauberman-Niles theoremnear componentsquadratic four-groups

Mathematics Subject Classification ID

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

Related Items (2)

Pushing up and \(C(G,T)\) in groups of finite Morley rank of even type ⋮ The local \(C(G,T)\) theorem.

Cites Work

• Unnamed Item
• Unnamed Item
• Pushing up
• Groups with weakly closed TI-subgroups
• Pushing-up in finite groups
• Einfache Gruppen, die von einer Konjugiertenklasse von Elementen der Ordnung drei erzeugt werden
• Central elements in core-free groups
• Some subgroups of \(SI_ n(F_2)\)
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• The local structure of finite groups of characteristic 2 type
• On the Failure of the Thompson Factorization in 2-Constrained Groups
• A Factorization Theorem for 2-Constrained Groups
• A Pair of Characteristic Subgroups for Pushing-Up in Finite Groups
• GF(2)-Representations of Finite Groups
• Involutions in Chevalley groups over fields of even order
• Uber Endliche Gruppen Mit Einer ZU L 2 (2 n ) Isomorphen Faktorgruppe
• Nonsolvable finite groups all of whose local subgroups are solvable
• FAILURE OF FACTORIZATION IN p-SOLVABLE GROUPS
• La structure des $p$-groupes de Sylow des groupes symétriques finis

This page was built for publication: On Aschbacher's local \(C(G;T)\) theorem