WASET
	%0 Journal Article
	%A Basmah H. Shafee
	%D 2013
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 75, 2013
	%T On the Wreath Product of Group by Some Other Groups
	%U https://publications.waset.org/pdf/7673
	%V 75
	%X In this paper, we will generate the wreath product
11 12 M wrM using only two permutations. Also, we will show the
structure of some groups containing the wreath product 11 12 M wrM .
The structure of the groups founded is determined in terms of wreath
product k (M wrM ) wrC 11 12 . Some related cases are also included.
Also, we will show that 132K+1 S and 132K+1 A can be generated
using the wreath product k (M wrM ) wrC 11 12 and a transposition in
132K+1 S and an element of order 3 in 132K+1 A . We will also show
that 132K+1 S and 132K+1 A can be generated using the wreath
product 11 12 M wrM and an element of order k +1.
	%P 342 - 344