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Computing Matrix Group Decompositions with Respect to a Normal Subgroup

✍ Scribed by Derek F. Holt; C.R. Leedham-Green; E.A. O'Brien; Sarah Rees

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 201 KB
Volume: 184
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0286

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✦ Synopsis

We describe an algorithm which can be used to investigate whether a matrix group defined over a finite field decomposes with respect to a normal subgroup, defined as the normal closure of a given set of matrices. The possible decompositions correspond to classes in Aschbacher's classification of subgroups of the general linear group.

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