Correlation between direct product and sylows theorem on automorphic image of permutation group
Author(s): Dr. Amod Kumar Mishra
Abstract: 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.
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. DOI: 10.33545/27068919.2019.v1.i1a.166
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