Solvability of finite coatomic groups

DOI10.1007/BF01157285zbMath0715.20012OpenAlexW2088733140MaRDI QIDQ752178

Anatoli Kondrat'ev

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157285

zbMATH Keywords

solvabilitysimple sectionssimple groupsintersections of maximal subgroupsIM-groupsfinite solvable coatomic groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05)

Cites Work

• The geometry of root subgroups in exceptional groups. II
• Linear groups containing a Singer cycle
• Flag-transitive subgroups of Chevalley groups
• Minimal degree for a permutation representation of a classical group
• Some subgroups of GL(n,2) generated by involutions. I
• Overgroups of Sylow subgroups in sporadic groups
• Involutions in Chevalley groups over fields of even order
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• Subgroups of Classical Groups Generated by Long Root Elements
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