IJPAM: Volume 11, No. 4 (2004)

$(p,q,r)$-GENERATION OF THE
SUZUKI GROUP $\suz$

K. Mehrabadi$^1$, A.R. Ashrafi$^2$, A. Iranmanesh$^3$
$^{1,3}$Department of Mathematics
Tarbiat Modarres University
P.O. Box: 14115-137, Tehran, IRAN
$^1$e-mail: kmehr@modares.ac.ir
$^3$e-mail: iranmana@modares.ac.ir
$^2$Department of Mathematics
University of Kashan
Kashan, IRAN
e-mail: ashrafi@kashanu.ac.ir


Abstract.A finite group $G$ is called $(l,m,n)$-generated, if it is a quotient group of the triangle group $T(l,m,n) = \langle x,y,z \vert
x^l = y^m = z^n = xyz = 1 \rangle$.

In [#!moor1!#], the question of finding all triples $(p,q,r)$ such that non-abelian finite simple group $G$ is $(p,q,r)-$generated was posed. In this paper we answer this question for the Suzuki group $\suz$.

Received: January 11, 2004

AMS Subject Classification: 20D08, 20F05

Key Words and Phrases: Suzuki group, $(p,q,r)-$generation, triangle group

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 11
Issue: 4