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Constructing a representation of the group (2,3,7;11)
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UNSPECIFIED (1997) Constructing a representation of the group (2,3,7;11). In: 1st MAGMA Conference on Computational Algebra and Number Theory, QUEEN MARY AND WESTFIELD COLLEGE, LONDON, ENGLAND, JUL 23-27, 1993. Published in: JOURNAL OF SYMBOLIC COMPUTATION, 24 (3-4). pp. 489-492. ISSN 0747-7171.
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Abstract
We construct a representation of the finitely presented group G := (x, y \ x(2), y(3), (xy)(7), [x, y](11)). This is done by lifting a representation over a finite field to a sufficiently large quotient of local field and by finding minimal polynomials for the entries of this representation. We finally obtain a 7-dimensional representation over an algebraic number field K of degree 10 over the rationals, providing a homomorphism of G into a Lie group of type G(2) over K. (C) 1997 Academic Press Limited.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics |
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Journal or Publication Title: | JOURNAL OF SYMBOLIC COMPUTATION | ||||
Publisher: | ACADEMIC PRESS LTD | ||||
ISSN: | 0747-7171 | ||||
Official Date: | September 1997 | ||||
Dates: |
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Volume: | 24 | ||||
Number: | 3-4 | ||||
Number of Pages: | 4 | ||||
Page Range: | pp. 489-492 | ||||
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 |
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