Group actions on Cartesian powers with applications to represenation theory.

DOI10.1515/crll.1987.380.178zbMath0613.20008OpenAlexW4245254092MaRDI QIDQ3754164

Herbert Pahlings, Wilhelm Plesken

Publication date: 1987

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002204908

zbMATH Keywords

fixed pointsconjugacy classesClifford theoryclosure operationcharacter tablesreflection groupsCartesian powersGalois correspondencestabilizersclosed subgroupslattice of subgroupsG-orbitsgeneric charactersdiagonal operationgeneric Clifford matricesinertia factorsprojective complex characters

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Projective representations and multipliers (20C25) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

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