Construct · 1 fields · 1 citations

Gromov's polynomial growth theorem: a standalone construct

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Group theory

a finitely generated group has polynomial growth exactly when it has a nilpotent subgroup of finite index.

In group theory, Gromov's polynomial growth theorem refers to a finitely generated group has polynomial growth exactly when it has a nilpotent subgroup of finite index. This meaning comes from Gromov (1981) in Publications Mathématiques de l'IHÉS.[1]

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Nearby constructs

group4 fields · 4 citationsjingle · one word, four constructs growth4 fields · 4 citationsjingle · one word, four constructs index5 fields · 11 citationsjingle · one word, five constructs

References

Gromov, M. (1981). Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits). Publications Mathématiques de l'IHÉS, 53, 53-78. https://doi.org/10.1007/bf02698687

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