Since these are integer groups can you use use congruence equations and number theory to find m? What does your lecturer expect in terms of finding the solution?
will anyone advice me how to solve this question?
Q: Consider the group G= (Z, +), H= (7Z, +).
Then H is normal in G and G/H is the factor group.
If (3+7H) + (4+7H) = m+7H
What is the smallest nonnegative value of m?