Question: Number 2 please! Couldn't crop smaller 1. Let G be a group. Prove that if a E G is the only element of order 2

Number 2 please! Couldn't crop smaller

1. Let G be a group. Prove that if a E G is the only element of order 2 then a E Z (G). 2. Let G be a finite group of odd order. Show that every element of G has a unique square root; that is, for every g E G there exists a unique a E G such that a2 = g. 3. Prove that no group can have exactly two elements of order 2

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