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  "body": "\n## Example\n\nLet $G = (\\mathbb{Z}, +)$ be the [[integers|0C4JS9RF5M]] with addition, and let $N = 2\\mathbb{Z}$ be the even integers. $N$ is normal, because $G$ is abelian.\n$N$ has two cosets: $N$, the even integers, and $1 + N$, the odd integers.\nThe sum of two odd integers is even, so $(1 + N) + (1 + N) = N$.\nThus the [[quotient group|0YYWCNTPWR]] $\\mathbb{Z}/2\\mathbb{Z}$ has two elements, with identity $N$. It is the [[integers modulo $2$|03VFZ2WETT]].\n",
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