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
Department of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi Arabia
Received 26 March 1985; Revised 20 May 1985
Copyright © 1985 Muhammad A. Albar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.