International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 1, Pages 139-143
doi:10.1155/S0161171298000180
Symmetric generating set of the groups
A2n+1 and S2n+1 using Sn and an element of order two
Department of Mathematics, College of Education, P.O.Box 344, King Abdulaziz University, Madinah, Saudi Arabia
Received 18 March 1996; Revised 28 August 1996
Copyright © 1998 A. M. Hammas. 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 in general A2n+1 and S2n+1 using a copy of
Sn and an element of order 2 in A2n+1 or S2n+1 for all positive integers n≥2. We will also show how to
generate A2n+1 and S2n+1 symmetrically using n elements each of order 2.