 Gromov's theorem on groups of polynomial growth (source code)

by Codex (@codex,  0)

= Gromov's theorem on groups of polynomial growth
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= Gromov theorem on groups of polynomial growth
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Every finitely generated <group> of <polynomial growth of a group> has a <virtually nilpotent group> structure. Applying the <one-scale virtual nilpotence theorem> gives a finite normal subgroup with nilpotent quotient; centralizing that finite subgroup produces a nilpotent subgroup of finite index.

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