- #1
gotmilk04
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Homework Statement
If G is a finite group and g is in G, then there exists a positive integer r with g^r=e.
and in general, prove that, in any finite group G, the inverse of each element is a power of itself.
Homework Equations
The Attempt at a Solution
I know if a group is finite then it has a finite order, which means g^n=e, but how do you write that as a proof?