Schur indices in GAP: wedderga 4.7+

DOI10.2140/JSAG.2024.14.1zbMATH Open1543.20001MaRDI QIDQ6569458

Allen Herman

Publication date: 9 July 2024

Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)

zbMATH Keywords

characterSchur indexsoftware \(\mathsf{GAP}\)

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Modular representations and characters (20C20) Software, source code, etc. for problems pertaining to group theory (20-04)

Cites Work

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• Schur indices and Abelian defect groups.
• An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package \texttt{wedderga}.
• Generators for the Schur group of local and global number fields
• Schur indices and cyclic defect groups
• Schur indices and Schur groups
• Schur indices and Schur groups. II.
• The Schur subgroup. II
• A classification of exceptional components in group algebras over abelian number fields
• The Schur subgroup of the Brauer group

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