Download this article
 Download this article For screen
For printing
Recent Issues
Volume 14, Issue 1
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 1
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1948-7916
Author Index
To Appear
 
Other MSP Journals
Schur indices in GAP: wedderga 4.7+

Allen Herman

Vol. 14 (2024), 1–4
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 GAP via the package wedderga, versions 4.7 and higher.

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

Schur indices in GAP

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