Regular orbits of nilpotent subgroups of solvable groups

zbMath0847.20008MaRDI QIDQ1328081

Walter Carlip

Publication date: 30 September 1996

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

zbMATH Keywords

finite groupscharacter degreessolvable groupsregular orbitsfixed-point-free actionscomposition lengthFitting lengthfaithful modulesnilpotent groups of operators

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

Regular orbits of nilpotent subgroups of solvable linear groups. ⋮ A brief note on the noncoprime regular module problem ⋮ Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group

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