Schur indices in GAP: wedderga 4.7+. (English) Zbl 1543.20001
Author’s abstract: We describe algorithms and their implementations that calculate local and global Schur indices of ordinary irreducible characters of finite groups and cyclotomic algebras over abelian number fields. Side benefits include functions for cyclotomic reciprocity calculations and for calculating the defect group associated with an ordinary irreducible character of a finite group. These functions are available in \(\mathsf{GAP}\) via the package \(\mathtt{wedderga}\), versions 4.7 and higher.
Reviewer: Enrico Jabara (Venezia)
MSC:
| 20-04 | Software, source code, etc. for problems pertaining to group theory |
| 20C15 | Ordinary representations and characters |
| 20C20 | Modular representations and characters |
| 16S34 | Group rings |
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