Solution Found!
Show that if G is the internal direct product of H1, H2, .
Chapter 9, Problem 5E(choose chapter or problem)
Show that if G is the internal direct product of H1, H2, . . . , Hn and i ≠ j with 1 ≤ i ≤ n, 1 ≤ j ≤ n, then Hi ∩ Hj = {e}. (This exercise is referred to in this chapter.)
Questions & Answers
QUESTION: Problem 5E
Show that if G is the internal direct product of H1, H2, . . . , Hn and i ≠ j with 1 ≤ i ≤ n, 1 ≤ j ≤ n, then Hi ∩ Hj = {e}. (This exercise is referred to in this chapter.)
ANSWER:
Step 1 of 3
If H and G are two normal subgroups of G such that G = HK and 
G = H x K and G is isomorphic to the external direct product of H and K.
It can also be true for more than two subgroups. If 
