Correlation between direct product and sylows theorem on automorphic image of permutation groupAuthor(s):
Dr. Amod Kumar MishraAbstract:
We should know that the product of two sets as a set of ordered pairs. We now search a new group through the product of two groups.
Let G1, G2 be any two subgroups
Let G = G1´G2 = [(g1, g2): g1 ÎG1
What better way could g2ÎG2} there be than to define multiplication on G by (g1, g2) (g1'g2') = (g1 g1', g2g2'). That G forms a group under this as its composition should not be a difficult task for the reader. We focus on the matter that of G is a group of order 15; it is IDp (interval direct product) of its sylow subgroups. Pages: 57-58 | Views: 482 | Downloads: 149Download Full Article: Click Here
How to cite this article:
Dr. Amod Kumar Mishra. Correlation between direct product and sylows theorem on automorphic image of permutation group. Int J Adv Acad Stud 2019;1(1):57-58.