Gromov’s theorem
Let be a finitely generated group.
Then, has polynomial growth if and only if it is virtually nilpotent.
References
- 1 M. Gromov, Groups of polynomial growth and expanding maps, Publications Mathématique d’IHÉS 53 (1981), pages 53 to 78.
| Title | Gromov’s theorem |
|---|---|
| Canonical name | GromovsTheorem |
| Date of creation | 2013-03-22 14:36:40 |
| Last modified on | 2013-03-22 14:36:40 |
| Owner | mathcam (2727) |
| Last modified by | mathcam (2727) |
| Numerical id | 6 |
| Author | mathcam (2727) |
| Entry type | Theorem |
| Classification | msc 20Exx |
| Classification | msc 20Fxx |