On the Structure of Some Groups Containing ) 17 ( ) 13 ( 2 2 L wr L

Basmah Shafee
2011 Research Journal of Pure Algebra   unpublished
In this paper, we will generate the wreath product) 17 () 13 (2 2 L wr L using only two permutations. Also, we will show the structure of some groups containing the wreath product) 17 () 13 (2 2 L wr L. The structure of the groups founded is determined in terms of wreath product k C wr L wr L)) 17 () 13 ((2 2. Some related cases are also included. Also, we will show that 1 252 + k S and 1 252 + K A can be generated using the wreath product k C wr L wr L)) 17 () 13 ((2 2 and a transposition in 1
more » ... 252 + k S and an element of order 3 in 1 252 + K A. We will also show that 1 252 + k S and 1 252 + K A can be generated using the wreath product) 17 () 13 (2 2 L wr L and an element of order 1 k + .
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