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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, JUL 23-27, 1993, QUEEN MARY AND WESTFIELD COLLEGE, LONDON, ENGLAND.
Full text not available from this repository.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) |
|---|---|
| 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: | 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/16354 |
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