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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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:	Date Event 1 November 2020 Published 25 February 2020 Available 24 February 2020 Accepted
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 ID RIOXX Funder Name Funder ID Hood Fellowship University of Auckland http://dx.doi.org/10.13039/501100001537 UNSPECIFIED Hausdorff Research Institute for Mathematics https://www.him.uni-bonn.de/ UOA 1626 Marsden Fund http://dx.doi.org/10.13039/501100009193

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