Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

I have number 6,7,8 and 9 down just need the other 6. If [a] =[b] in Im, then a

ID: 2983933 • Letter: I

Question

I have number 6,7,8 and 9 down just need the other 6.

If [a] =[b] in Im, then a = b in Z. False There is a homomorphism Im defined by[a]| a. False IF a = b in Z, then [a] = [b] in Im. True If G is a ground and K G, then there is a homomorphism G G/K has kernel K. False Every quotient group of an abelian group is abelian. True If G and H are abelian groups then G * H is an abelian group. True If G and H are cyclic groups, then G * H is a cyclic group. False If every subgroup of a group G is a normal subgroup, then G is abelian. False If G is a group, then{1} G True.

Explanation / Answer

1.False

2.True

3.True

4.False

5.True

10.True