Gromov's theorem on groups of polynomial growth
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:Mikhael_Gromov
|
| gptkbp:field |
geometric group theory
group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov's theorem on groups of polynomial growth
|
| gptkbp:impact |
major result in geometric group theory
|
| gptkbp:publishedIn |
gptkb:Publications_Mathématiques_de_l'IHÉS
|
| gptkbp:relatedConcept |
nilpotent group
finitely generated group growth of groups polynomial growth virtually nilpotent group |
| gptkbp:sentence |
A finitely generated group has polynomial growth if and only if it is virtually nilpotent.
|
| gptkbp:yearProved |
1981
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|