Using \(G\)-algebras for Schur index computation

DOI10.1016/S0021-8693(02)00577-XzbMath1024.20006MaRDI QIDQ1868761

Allen Herman

Publication date: 28 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupsBrauer groupsirreducible characterscentral simple algebrassolvable groupsSchur index\(G\)-algebras

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Projective representations and multipliers (20C25)

Related Items

The Brauer-Clifford group., Reduction theorems for Clifford classes, Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings, Invariants for equivalence of central simple \(G\)-algebras., Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

Cites Work

• Representation groups of characters
• Extensions of group representations over arbitrary fields
• Clifford theory with Schur indices
• On the Schur Index of Quasi-Primitive Characters
• Equivalence of g-algebras with complemented centroid
• Characters of Solvable and Symplectic Groups
• Character correspondences in solvable groups