@article{(Open Science Index):https://publications.waset.org/pdf/7673, title = {On the Wreath Product of Group by Some Other Groups}, author = {Basmah H. Shafee}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {7}, number = {3}, year = {2013}, pages = {342 - 344}, ee = {https://publications.waset.org/pdf/7673}, url = {https://publications.waset.org/vol/75}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 75, 2013}, }