International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 3, Pages 489-492
doi:10.1155/S0161171298000696
Symmetric and permutational generating set of the groups Akn+1 and Skn+1 using Sn and an element of order k
Department of Mathematics, King Abdulaziz University, College of Education, P.O.Box 344, Madina, Saudi Arabia
Received 2 December 1996; Revised 6 May 1997
Copyright © 1998 Ibraham R. Al-Amri. 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
In this paper we will show how to generate Akn+1 and
Skn+1 using a copy of Sn and an element of order k
in Akn+1 and Skn+1 respectively, for all positive integers n≥2
and all positive integers k≥2. We will also show how to generate
Akn+1 and
Skn+1 symmetrically using n
elements each of order k, for all n≥2
and all even integers k≥2.