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A direct product of a group G possess which of the following characteristics?(a) a multiplication of subgroups of G(b) a factorization via subgroups of G(c) a superset of subgroups of G(d) a maximal power set of subgroupsI have been asked this question in an interview for internship.My question comes from Graph’s Matrices in portion Graphs of Discrete Mathematics

Answer»

Right option is (B) a factorization via subgroups of G

Explanation: A DIRECT product of a GROUP G is a factorization via subgroups of G when the intersection is nontrivial, say X and Y, such that G = XY, X intersect Y = 1, and [X, Y]=1 and X, Y are normal in G.



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