1. Find the number of generator of cyclic group 
2. Let G be a cyclic group and H be a subgroup of G. Prove that G/H is also cyclic group.
3. Let G be a group and f : G → G defined by
Prove that G is abelian.
4. Determine all automorphisms of
is an automorphism.
( under addition ).
2. Let G be a cyclic group and H be a subgroup of G. Prove that G/H is also cyclic group.
3. Let G be a group and f : G → G defined by
Prove that G is abelian. 4. Determine all automorphisms of
is an automorphism.( under addition ).
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