Journal of Symbolic Computation
Volume 24, Issues 3-4
,
September 1997,
Pages 489-492
doi:10.1006/jsco.1996.0147 
Cite or link using doi
Copyright © 1997 Academic Press Limited. All rights reserved.
Regular Article
Constructing a Representation of the Group (2, 3, 7; 11)
D. F. HOLT, W. PLESKEN and B. SOUVIGNIERf1
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, U.K.
Lehrstuhl B für Mathematik, RWTH Aachen, Templergraben 64, Aachen, D-52062 Aachen, Germany
Available online 17 April 2002.
Abstract
We construct a representation of the finitely presented groupG :=«x, y |x2, y2, (xy)7,[x,y]11». This is done by lifting a representation over a finite field to a sufficently 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 fieldKof degree 10 over the rationals, providing a homomorphism ofGinto a Lie group of typeG2overK.
f1 E-mail:bs@willi.math.rwth_aachen.de
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