Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

DOI10.1090/S0025-5718-07-01957-6zbMath1117.20004MaRDI QIDQ3426037

Gabriela Olteanu

Publication date: 7 March 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmsfinite groupscharacter tablesWedderburn decompositionsSchur indicessimple componentssemisimple group algebrasBrauer-Witt theorem

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

On idempotents and the number of simple components of semisimple group algebras, Packaging Mathematical Structures, On the congruence subgroup problem for integral group rings, Aritmethic lattices of \(\operatorname{SO}(1,n)\) and units of group rings, A computational approach to Brauer Witt theorem using Shoda pair theory, Group rings of finite strongly monomial groups: central units and primitive idempotents., Construction of central units in integral group rings of finite groups, Group algebras of Kleinian type and groups of units., Unnamed Item, An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package \texttt{wedderga}.

Uses Software

• GAP
• wedderga

Cites Work

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