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Computing Sylow subgroups in permutation groups

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UNSPECIFIED (1997) Computing Sylow subgroups in permutation groups. In: 1st MAGMA Conference on Computational Algebra and Number Theory, JUL 23-27, 1993, QUEEN MARY AND WESTFIELD COLLEGE, LONDON, ENGLAND.

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Abstract

We describe the theory and implementation of a practical algorithm for computing a Sylow subgroup of a permutation group and for finding an element that conjugates one Sylow subgroup to another. The performance of the current implementations in the Magma system represents a significant improvement on previous implementations for many important classes of examples and generally extends the range of realistic applicability to groups of much larger degrees than before. (C) 1997 Academic Press Limited.

Item Type: Conference Item (UNSPECIFIED)
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF SYMBOLIC COMPUTATION
Publisher: ACADEMIC PRESS LTD
ISSN: 0747-7171
Date: September 1997
Volume: 24
Number: 3-4
Number of Pages: 14
Page Range: pp. 303-316
Publication Status: Published
Title of Event: 1st MAGMA Conference on Computational Algebra and Number Theory
Location of Event: QUEEN MARY AND WESTFIELD COLLEGE, LONDON, ENGLAND
Date(s) of Event: JUL 23-27, 1993
URI: http://wrap.warwick.ac.uk/id/eprint/16353

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