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kathrynag
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Homework Statement
Let G be a finite group andd H a subset of G. Prove H is a subgroup of G iff H is closed.
Homework Equations
The Attempt at a Solution
Let G be a finite group and H be a subgroup.
G is a finite group, therefore it is closed, has an inverse and has an identity.
We want to show H is only a subgroup of G iff H is closed.
To be a subgroup, H must be closed, contain the identity element of G, and contain the inverse.
Now I'm stuck.