A practical model for computation with matrix groups. (May 2015)

• Record Type: Journal Article
• Authors: Bäärnhielm, Henrik; Holt, Derek; Leedham-Green, C.R.; O'Brien, E.A.
• Is Part Of: Journal of symbolic computation. Volume 68:Part 1(2015)
• Page Start: 27
• Page End: 60
• Publication Date: 2015-05
• Subjects: Finite matrix groups -- Structural computation -- Composition tree; 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.2014.08.006
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We describe an algorithm to compute a composition tree for a matrix group defined over a finite field, and show how to use the associated structure to carry out computations with such groups; these include finding composition and chief series, the soluble radical, and Sylow subgroups.