Abstract
It is known that conjugacy classes of actions of P GL(2, Z) on
P L(Fq) can be represented by coset diagrams D(θ, q), where θ ∈ Fq and
q is a power of a prime p. In this paper, we have obtained conditions in
terms of θ and q which ensure the emergence of coset diagrams representing homomorphic images of infinite triangle group ∆(2, 3, 13) =< x, y :
x
2 = y
3 = (xy)
13 = 1 > on P L(Fq). We have also found conditions
for existence of some special types of fragments in the coset diagrams
representing homomorphic images of ∆ (2, 3, 13). We have used technique devised in [7] to stitch together small coset diagrams representing
homomorphic images of ∆ (2, 3, 13) to obtain homomorphic images of
the same triangle group but of larger size.
M. Aslam, Rehan Ahmad. (2013) Some Results On Homomorphic Images of ∆(2, 3, 13), Punjab University Journal of Mathematics, Volume 45, Issue 1.
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