Nilpotent by Supersolvable M-Groups

DOI10.4153/CJM-1985-051-0zbMath0583.20008MaRDI QIDQ3708179

Alan E. Parks

Publication date: 1985

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

zbMATH Keywords

inertia groupscomplex irreducible characterssupersolvableHall subgroupsubnormal subgroupmonomial charactershyperbolic modulessymplectic modulesM-groupextra-special p-groupClifford's theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (7)

On Clifford's theorem and ramification indices for symplectic modules over a finite field ⋮ On the supersolvable residual of an M-group ⋮ Hyperbolic modules and cyclic subgroups. ⋮ \(M\)-groups of Fitting length three. ⋮ Extendible characters and monomial groups of odd order. ⋮ Metabolic modules of finite group algebras over finite fields of characteristic two ⋮ Connecting monomiality questions with the structure of rational group algebras

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