An algorithm for computing Schur indices of characters. (July 2019)

• Record Type: Journal Article
• Authors: Unger, W.R.
• Is Part Of: Journal of symbolic computation. Volume 93(2019)
• Page Start: 148
• Page End: 160
• Publication Date: 2019-07
• Subjects: Schur index -- Computational group theory -- Group characters; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2018.06.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We describe an algorithm for computing Schur indices of irreducible characters of a finite group G, based on computations within G and its subgroups and with their character tables. The algorithm has been implemented withinMagma and examples of its use are given. We also compare the output of the algorithm on groups associated with sporadic simple groups with the results of W. Feit. The differences are considered.