An Archimedian Property for Groups with Polynomial Growth

DOI10.2307/2045013zbMath0518.22003OpenAlexW4237617371MaRDI QIDQ3667092

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Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045013

zbMATH Keywords

polynomial growthsolvableconnectedsubsemigroupfinitely generatedArchimedian

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Free semigroups, generators and relations, word problems (20M05) General properties and structure of real Lie groups (22E15) FC-groups and their generalizations (20F24)

Related Items (2)

A Necessary and Sufficient Condition for a Connected Amenable Group to have Polynomial Growth ⋮ P-amenable locally compact groups

Cites Work

• On group actions with nonzero fixed points
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Growth of connected locally compact groups
• Croissance polynomiale et périodes des fonctions harmoniques
• Folner's Condition for Exponentially Bounded Groups.
• Invariant Measures and Growth Conditions

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