Groups of polynomial growth and their associated metric spaces

DOI10.1006/jabr.1995.1177zbMath0833.20046OpenAlexW1988777076MaRDI QIDQ1895611

Françoise Point

Publication date: 12 March 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1177

zbMATH Keywords

polynomial growthisometryactiongrowth functiondescending central seriesMinkowski dimensiongenerating setdiscrete metric spacefinitely generated groupfinitely generated nilpotent groupextensions of finite indexlimited ultraproductsnon principal ultrafilter

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Nilpotent groups (20F18) Fairly general properties of topological spaces (54D99) Topological representations of algebraic systems (54H10)

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