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  "body": "\n## Example\n\nLet $G = (\\mathbb{Z}, +)$ be the [[integers|0C4JS9RF5M]] with addition, and let $H = 3\\mathbb{Z}$ be the multiples of $3$.\nThe [[cosets|05FD317V2W]] of $H$ are $3\\mathbb{Z}$, $1 + 3\\mathbb{Z}$ and $2 + 3\\mathbb{Z}$.\nEach integer is in exactly one of them, given by its remainder after division by $3$.\nThe group is abelian, so each left coset is also a right coset.\n\n## Remarks\n\nThe three cosets are the elements of the group [[$\\mathbb{Z}/3\\mathbb{Z}$|03VFZ2WETT]].\n",
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