Is it true that group is the product of two trivially intersecting normal subgroups?

Let K - group with normal subgroups N1 and N2. Intersection of which is trivial N1 \cap N2 = {e_k} and quotient groups of K by those normal groups are isomorphic to: K/N1 = N2, K/N2 = N1. Is it...

09 February 2015 6,246 8 View