Gromov's theorem on groups of polynomial growth and elementary logic
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Publication:801039
DOI10.1016/0021-8693(84)90223-0zbMath0552.20017OpenAlexW2088397367MaRDI QIDQ801039
A. J. Wilkie, L. P. D. van den Dries
Publication date: 1984
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(84)90223-0
growth functionsnon-standard analysisgroups with polynomial growthGromov's theoremlocally compact metric spacesnilpotent subgroups of finite index
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Other groups related to topology or analysis (20F38) General properties and structure of real Lie groups (22E15)
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Cites Work
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- A note on curvature and fundamental group
- Growth of finitely generated solvable groups
- Free subgroups in linear groups
- Subgroups of Finite Index in Free Groups
- Topologies for Homeomorphism Groups
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