Gromov: groups of polynomial growth

What changed

Proved that a finitely generated group of polynomial growth is virtually nilpotent.

Scientific scope

The record is Gromov's exact 1981 paper. Jacques Tits' separately credited appendix is preserved as contextual contribution; later proofs, quantitative bounds, geometric-group-theory developments and Gromov's hyperbolic-groups work remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Gromov's exact 1981 paper. Jacques Tits' separately credited appendix is preserved as contextual contribution; later proofs, quantitative bounds, geometric-group-theory developments and Gromov's hyperbolic-groups work remain separate.

Contributors

• Michael Gromov · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Centre Mersenne page for Gromov polynomial-growth paper
• NUMDAM full text of Gromov paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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