Constructing a representation of the group (2,3,7;11)
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.Full text not available from this repository.
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|
|Official Date:||September 1997|
|Number of Pages:||4|
|Page Range:||pp. 489-492|
|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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