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If $G$ is a group and $H$ is a subgroup of $G$, then a left coset of $H$ is a set $gH = \{ gh \mid h \in H\}$ and similarly, a right coset of $H$ is a set $Hg = \{ hg \mid h \in H\}.$

The left cosets partition $G$, as do the right cosets.

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• Review status: beta
• Last edited by John Jones on 2019-05-23 18:58:03
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