Characters of Solvable Groups

DOI10.1090/gsm/189zbMath1426.20004OpenAlexW4292174033MaRDI QIDQ4642105

I. M. Isaacs

Publication date: 22 May 2018

Published in: Graduate Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/gsm/189

zbMATH Keywords

symplectic formssubnormal subgroupsBrauer characters\(\pi\)-separable groups\(\pi\)-special characterssupersolvable groupsderived seriescentral seriesmonomial charactersalternating bilinear formssymplectic modulessolvable finite groups\(\pi\)-lengthfully ramified characterspartial charactersFitting classes and Fitting groupsmodular representations and charactersordinary representations and charactersSchmuck classes

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Solvable groups, supersolvable groups (20F16) Modular representations and characters (20C20) Bilinear and Hermitian forms (11E39) Derived series, central series, and generalizations for groups (20F14) Subnormal subgroups of abstract finite groups (20D35) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (28)

Correspondences of Brauer characters and Sylow subgroup normalizers ⋮ Primitive character degrees of solvable groups ⋮ The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups ⋮ The uniqueness of vertex pairs in π-separable groups ⋮ Navarro vertices and lifts in solvable groups ⋮ On a generalization of monomial groups ⋮ On height zero characters of \(p\)-solvable groups ⋮ A note on larger orbit size ⋮ Lifts of Brauer characters in characteristic two ⋮ Galois automorphisms and classical groups ⋮ Hall subgroups and fully extendible characters ⋮ Character degrees in \(\pi\)-separable groups ⋮ A note on \(\pi \)-partial characters of \(\pi \)-separable groups ⋮ On class sizes and primitive character degrees of p-solvable groups ⋮ A characterization of GVZ groups in terms of fully ramified characters ⋮ Irreducible extensions of characters ⋮ On the sum of character degrees coprime to \(p\) and \(p\)-nilpotency of finite groups ⋮ Primitive characters of odd order groups ⋮ On the intersection of nilpotent Hall \(\pi \)-subgroups ⋮ The fields of values of characters of degree not divisible byp ⋮ Local functions on finite groups ⋮ CLT-groups with normal or self-normalizing subgroups ⋮ Primitive inducing pairs for irreducible characters ⋮ Brauer character degrees and Sylow normalizers ⋮ \(p\)-length and character degrees in \(p\)-solvable groups ⋮ Finite groups with σ-abnormal or σ-subnormal σ-primary subgroups ⋮ Carter subgroups, characters and composition series ⋮ Notes on normal p-complements and monomial characters

This page was built for publication: Characters of Solvable Groups