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Constructive Sylow theorems for the classical groups
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Stather, Mark (2007) Constructive Sylow theorems for the classical groups. Journal of Algebra, Vol.316 (No.2). pp. 536-559. doi:10.1016/j.jalgebra.2007.03.013 ISSN 0021-8693.
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Official URL: http://dx.doi.org/10.1016/j.jalgebra.2007.03.013
Abstract
Let r be a prime. We provide efficient algorithms to construct and solve the conjugacy problem for the Sylow r-subgroups of the classical groups over finite fields in their natural representations. We also provide algorithms to construct the normaliser of a Sylow r-subgroup of GL(n, F-q), Sp(2m, Fq), GO(2m + 1, Fq), GO(-) (2m, F-q), GO(+)(2m, F-q) or GU(n, F-q2). The algorithms described here are implemented in the MAGMA Computer Algebra System.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Algebra | ||||
Publisher: | Academic Press Inc Elsevier Science | ||||
ISSN: | 0021-8693 | ||||
Official Date: | 15 October 2007 | ||||
Dates: |
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Volume: | Vol.316 | ||||
Number: | No.2 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 536-559 | ||||
DOI: | 10.1016/j.jalgebra.2007.03.013 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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