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  "body": "\n## Summary\n\nThe lower central series of a group $G$ is the sequence $G = \\gamma_1(G) \\supseteq \\gamma_2(G) \\supseteq \\cdots$ with $\\gamma_{i+1}(G) = [\\gamma_i(G), G]$.\nThe group is nilpotent if and only if this series reaches the trivial subgroup.\n",
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