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
Ibraham R. Al-Amri
Department of Mathematics, King Abdulaziz University, College of Education, P.O.Box 344, Madina, Saudi Arabia
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.