Maximal Frattini \(p\)-modules of minimal nonsolvable groups, having cyclic Sylow \(p\)-subgroups

DOI10.1007/BF02080334zbMath0593.20004MaRDI QIDQ1076134

S. D. Kozlov

Publication date: 1985

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187318

zbMATH Keywords

Frattini subgroupG-moduleelementary abelian p-subgroup

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

Finite groups with solvable or \(\Phi \)-simple maximal subgroups ⋮ On \(\pi \)-submaximal subgroups of minimal nonsolvable groups

Cites Work

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• Maximal Frattini extensions
• Frattini covers and projective groups without the extension property
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• The Frattini module
• Über die Zerlegungszahlen der Suzukigruppen Sz(q)
• Blocks with cyclic defect groups
• Indecomposable modules for finite groups
• Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
• The non-abelian simple groups g, |g| < 10⁶— character tables
• Nonsolvable finite groups all of whose local subgroups are solvable

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