Hi all,
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?
Thanks loads,
WeiJing
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Hi all,
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?
Thanks loads,
WeiJing
Hey weijing85.
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?
It was an assignment question. I don't understand at all :((
What have you covered in class?
(3+7H) + (4+7H) = m+7H
The answer is 0. i got it right (:
My working is 3+4 (Mod7) = 7 (Mod 7) = 0 (Mod 7) (: