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Constructing composition factors for a linear group in polynomial time

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Holt, Derek F., Leedham-Green, C. R. and O'Brien, E. A. (2020) Constructing composition factors for a linear group in polynomial time. Journal of Algebra, 561 . pp. 215-236. doi:10.1016/j.jalgebra.2020.02.018 ISSN 0021-8693.

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Official URL: https://doi.org/10.1016/j.jalgebra.2020.02.018

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Abstract

We present a Las Vegas polynomial-time algorithm that takes as input a subgroup of and, subject to the existence of certain oracles, determines its composition factors, provided that none of those factors is isomorphic to one of , , , or , for any k.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
SWORD Depositor: Library Publications Router
Library of Congress Subject Headings (LCSH): Polynomials, Permutation groups, Sylow subgroups, Linear algebraic groups
Journal or Publication Title: Journal of Algebra
Publisher: Academic Press Inc Elsevier Science
ISSN: 0021-8693
Official Date: 1 November 2020
Dates:
DateEvent
1 November 2020Published
25 February 2020Available
24 February 2020Accepted
Volume: 561
Page Range: pp. 215-236
DOI: 10.1016/j.jalgebra.2020.02.018
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 2 March 2020
Date of first compliant Open Access: 25 February 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
Hood FellowshipUniversity of Aucklandhttp://dx.doi.org/10.13039/501100001537
UNSPECIFIEDHausdorff Research Institute for Mathematicshttps://www.him.uni-bonn.de/
UOA 1626Marsden Fundhttp://dx.doi.org/10.13039/501100009193

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