Closed Property: Basic Subgroup Definition – math.stackexchange.com

Closed Property: Basic Subgroup Definition – math.stackexchange.com

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Let $*$ denote a operation. Also, let $S$ be a non-empty subset of a group, namely $G$. We say $S$ is a subgroup of G: if $a,b \in S$, then $a* b^{-1}\in S$. Why does this definition ...

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