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Computing a chief series and the soluble radical of a matrix group over a finite field
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Holt, Derek F. and Stather, Mark J. (2008) Computing a chief series and the soluble radical of a matrix group over a finite field. LMS Journal of Computation and Mathematics, Volume 11 . pp. 223-251. doi:10.1112/S1461157000000589 ISSN 1461-1570.
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Official URL: http://dx.doi.org/10.1112/S1461157000000589
Abstract
We describe an algorithm for computing a chief series, the soluble radical, and two other characteristic subgroups of a matrix group over a finite field, which is intended for matrix groups that are too large for the use of base and strong generating set methods. The algorithm has been implemented in Magma by the second author.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Combinatorial group theory, Finite fields (Algebra), Algorithms, Matrix groups | ||||
Journal or Publication Title: | LMS Journal of Computation and Mathematics | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 1461-1570 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Volume 11 | ||||
Number of Pages: | 29 | ||||
Page Range: | pp. 223-251 | ||||
DOI: | 10.1112/S1461157000000589 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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