Growth conditions in infinitely generated groups.

DOI10.4171/GGD/26zbMath1185.20047OpenAlexW1988470606MaRDI QIDQ2469773

Avinoam Mann

Publication date: 7 February 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ggd/26

zbMATH Keywords

finitely generated groupsfinitely generated subgroupsgrowth functionsgroups of polynomial growthvirtually nilpotent groupstorsion free nilpotent groupsgrowth degrees

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Asymptotic properties of groups (20F69)

Related Items (3)

Topological invariants of groups and Koszul modules ⋮ Growth of unbounded sets in nilpotent groups and random mapping statistics ⋮ On the growth rate of geodesic chords

Cites Work

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• A bound for groups of linear growth
• Uniformly amenable discrete groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Asymptotic growth of finite groups
• Combinatorial conditions in residually finite groups. II
• Finite linear groups and theorems of Minkowski and Schur
• The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

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