Source: wikibot/gromov-s-theorem-on-groups-of-polynomial-growth
= Gromov's theorem on groups of polynomial growth
{wiki=Gromov's_theorem_on_groups_of_polynomial_growth}
Gromov's theorem on groups of polynomial growth states that any finitely generated group with polynomial growth is virtually nilpotent. This theorem is a significant result in geometric group theory and has important implications for the structure of groups.