International Journal of Mathematics and Mathematical Sciences 
Volume 8 (1985), Issue 4, Pages 821-824
doi:10.1155/S0161171285000928

On mennicke groups of deficiency zero I

Muhammad A. Albar

Department of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi Arabia

Received 26 March 1985; Revised 20 May 1985

Abstract

The Mennicke group M(m,n,r)=x,y,z,|xy=xm, yz=yn, zx=zr is one of the few known 3-generator groups of deficiency zero. Several cases of M(m,n,r) are studied.