Schur indices in GAP: wedderga 4.6+

2014/07/16 by Allen Herman, Herman, Allen
Computer Science · Mathematics · #16S34 #16S35 #16Z05 #20C15 #Algebraic structures and combinatorial models #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #math.RA #msc:16S34 #msc:16S35 #msc:16Z05 #msc:20C15

paper · pdf · doi:10.48550/arxiv.1407.4426

arxiv created 2014/07/16 · openalex publication_date 2014/07/16 · arxiv updated 2014/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a algorithms and their implementations that calculate local and global Schur indices of ordinary irreducible characters of finite groups, cyclotomic algebras over abelian number fields, and rational quaternion algebras. These functions are available with the latest release of the GAP package wedderga, versions 4.6 and higher.

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