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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: reviewed
  • Last edited by John Jones on 2019-05-23 18:58:03
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