- #1
gottfried
- 119
- 0
If one wants to show that two groups are isomorphic is simply finding a single isomorphism between them sufficient?
For example.
If G is an infinite cyclic group with generator g show that G is isomorphic to [itex]Z[/itex].
So suppose f(g)=ord(g)
then f is bijective and a homomorphism I believe?
For example.
If G is an infinite cyclic group with generator g show that G is isomorphic to [itex]Z[/itex].
So suppose f(g)=ord(g)
then f is bijective and a homomorphism I believe?