Abelian normal subgroups of M-groups

DOI10.1007/BF01175623zbMath0512.20005MaRDI QIDQ1839306

I. M. Isaacs

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173275

zbMATH Keywords

centerirreducible complex charactersmonomial groupsM-groupmaximal abelian normal subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07)

Related Items (13)

Partial character degrees and length of soluble groups:thep-length 1 case ⋮ Irreducible constituents of induced monomial characters ⋮ A generalization of strongly monomial groups ⋮ Representations of finite groups ⋮ 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. ⋮ LANDAU’S THEOREM, FIELDS OF VALUES FOR CHARACTERS, AND SOLVABLE GROUPS ⋮ Primitive characters of maximal subgroups of M-groups ⋮ Number of modular character degrees and lengths for solvable groups ⋮ Self-dual modules for finite groups of odd order. ⋮ Metabolic modules of finite group algebras over finite fields of characteristic two ⋮ Primitive inducing pairs for irreducible characters

Cites Work

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• On the character theory of fully ramified sections
• Primitive characters, normal subgroups, and M-groups
• Characters of groups with normal extra-special subgroups
• The p-parts of character degrees in p-solvable groups
• Endliche Gruppen I
• Character correspondences in solvable groups

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