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GROUP THEOREMS
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Subgroup Product and Inverse
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Subgroup
Subgroup Product and Inverse
Intersection of Subgroups
Transpositions as Set of Generators
3-Cycles as Set of Generators
A non-empty subset $H$ of a group $G$ is a subgroup of $G$ if and only if $xy^{-1}$ belongs to $H$ whenever $x$ and $y$ belong to $H$
PROOF
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