Product of two elements not in a subgroup is in a subgroup? – math.stackexchange.com

Product of two elements not in a subgroup is in a subgroup? – math.stackexchange.com

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So I have seen this post, but my question is a bit different. Suppose $b_1,b_2\in G$ and $b_1\neq b_2^{-1}$. And suppose you have a subgroup $H\leq G$ and neither $b_1$ nor $b_2$ belong to $H$. Can ...

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