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The use of permutation representations in structural computations in large finite matrix groups
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Cannon, John J., Holt, Derek F. and Unger, W. R. (2019) The use of permutation representations in structural computations in large finite matrix groups. Journal of Symbolic Computation, 95 . pp. 26-38. doi:10.1016/j.jsc.2018.09.001 ISSN 0747-7171.
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Official URL: https://doi.org/10.1016/j.jsc.2018.09.001
Abstract
We determine the minimal degree permutation representations of all finite groups with trivial soluble radical, and describe applications to structural computations in large finite matrix groups that use the output of the CompositionTree algorithm. We also describe how this output can be used to help find an effective base and strong generating set for such groups. We have implemented the resulting algorithms in Magma, and we report on their performance.
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): | Permutation groups, Representations of groups, Matrix groups, Finite groups | ||||||||
Journal or Publication Title: | Journal of Symbolic Computation | ||||||||
Publisher: | Elsevier Science Ltd. | ||||||||
ISSN: | 0747-7171 | ||||||||
Official Date: | November 2019 | ||||||||
Dates: |
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Volume: | 95 | ||||||||
Page Range: | pp. 26-38 | ||||||||
DOI: | 10.1016/j.jsc.2018.09.001 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 10 September 2018 | ||||||||
Date of first compliant Open Access: | 15 November 2018 | ||||||||
RIOXX Funder/Project Grant: |
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