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research article
Triangle generation of finite exceptional groups of low rank
2011
Given a triple (p(1), p(2), p(3)) of primes, the object of this paper is the study of the space Hom(T-p1,T-p2,T-p3, G) of homomorphisms from the triangle group T-p1,T-p2,T-p3 to a finite simple exceptional group G of Lie type B-2(2), (2)G(2), G(2) or D-3(4). With a few exceptions, we give precise asymptotic estimates for the size of Hom(T-p1,T-p2,T-p3, G) and determine the limiting probability that a randomly chosen homomorphism from T-p1,T-p2,T-p3 to G is surjective as |G| ---> infinity. (C) 2010 Elsevier Inc. All rights reserved.
Type
research article
Web of Science ID
WOS:000288353300003
Authors
Publication date
2011
Publisher
Published in
Volume
332
Start page
35
End page
61
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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