Solvable Groups and Modular Representation Theory

DOI10.2307/1993841zbMath0105.25603OpenAlexW4251190158MaRDI QIDQ3290743

Paul Fong

Publication date: 1962

Full work available at URL: https://doi.org/10.2307/1993841

zbMATH Keywords

group theory

Related Items (30)

A remark on the Jacobson radical of a block ideal in a finite p-solvable group ⋮ On p-radical groups ⋮ Cliques of irreducible representations of \(p\)-solvable groups and a theorem analogous to Alperin's conjecture ⋮ A characterization of \(p\)-radical groups ⋮ Characters of \(\pi\)-separable groups ⋮ On Induced Projective Indecomposable Modules ⋮ Character heights and \(p\)-length in blocks of \(p\)-solvable groups. ⋮ On the projectives of a group algebra ⋮ On irreducible representations of \(p\)-soluble groups in characteristic \(p\) ⋮ On the number of characters in a p-block of a p-solvable group ⋮ Kernels, inflations, evaluations, and imprimitivity of Mackey functors ⋮ Extensions of Group Representations Over Fields of Prime Characteristic ⋮ Induction of irreducible modules from normal subgroups ⋮ A remark on blocks with dihedral defect groups in solvable groups ⋮ Defect groups and character heights in blocks of solvable groups ⋮ Blocks, character values, and centralizers of elements in solvable groups ⋮ Fong characters and normal subgroups of \(\pi\)-separable groups ⋮ Principal blocks and p-radical groups ⋮ On a theorem of Fong ⋮ Fully group graded algebras and a theorem of Fong. ⋮ Die Struktur modularer Gruppenringe endlicher Gruppen der p-Länge 1 ⋮ Lifting induction theorems ⋮ Varieties for cohomology with twisted coefficients ⋮ On the Jacobson radical of a block ideal in a finite p-solvable group for \(p\geq 5\) ⋮ Real \(2\)-regular classes and \(2\)-blocks ⋮ Defect groups and character heights in blocks of solvable groups. II ⋮ On lower bounds for the radical of a block ideal in a finite p-solvable group ⋮ On stable orthogonal decompositions of idempotents ⋮ Cartan matrices for blocks of finite p-solvable groups with two simple modules ⋮ Fong characters in \(\pi\)-separable groups

Cites Work

• Lineare auflösbare Gruppen
• Zur Darstellungstheorie der Gruppen endlicher Ordnung. I, II
• Representations induced in an invariant subgroup
• On the modular characters of groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On The Characters of p-Solvable Groups
• Some Studies on Group Characters

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