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Schur indices in GAP: wedderga 4.7+

Allen Herman

Vol. 14 (2024), 1–4

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 GAP via the package wedderga, versions 4.7 and higher.

Schur indices, character theory of finite groups
Mathematical Subject Classification 2010
Primary: 20C20
Secondary: 16S99
Supplementary material

Schur indices in GAP

Received: 17 April 2015
Revised: 22 May 2018
Accepted: 14 September 2023
Published: 26 March 2024
Allen Herman
Department of Mathematics and Statistics
University of Regina
Regina, SK