International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 3, Pages 161-167
doi:10.1155/S0161171201010754

Factorization of groups involving symmetric and alternating groups

M. R. Darafsheh1,2 and G. R. Rezaeezadeh3

1Center for Theoretical Physics and Mathematics, AEOI, P.O. Box 11365-8486, Tehran, Iran
2Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Tehran, Tehran, Iran
3Department of Mathematics, Faculty of Basic Sciences, University of Tarbiat Moddares, Tehran, Iran

Received 16 August 2000; Revised 28 September 2000

Copyright © 2001 M. R. Darafsheh and G. R. Rezaeezadeh. 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

We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.