On the structure of a group whose orbits on a finite module are the orbits of a proper subgroup

DOI10.1016/0021-8693(85)90190-5zbMath0601.20011OpenAlexW1979948536MaRDI QIDQ1080940

Graham Jones, Trevor Hawkes

Publication date: 1985

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90190-5

zbMATH Keywords

orbitsmodular representationsfinite solvable groupexistence of normal complementskG-moduleOrbit Theorem

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

A character-theoretic criterion for the existence of normal complements to subgroups of finite groups ⋮ Subgroups with the character restriction property

Cites Work

• Unnamed Item
• A character-theoretic criterion for the existence of normal complements to subgroups of finite groups
• The Influence of Nilpotent Subgroups on the Nilpotent Length and Derived Length of a Finite Group
• Endliche Gruppen I

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