Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of X.
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- Exercises 30. For an arbitrary positive integer, prove that any two cyclic groups of order are isomorphic.27. a. Show that a cyclic group of order has a cyclic group of order as a homomorphic image. b. Show that a cyclic group of order has a cyclic group of order as a homomorphic image.If G is a cyclic group, prove that the equation x2=e has at most two distinct solutions in G.