Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits)
Michael Gromov (1981)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Følner sequences in polycyclic groups.”
Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits)
Asymptotic dimension of discrete groups
A. Dranishnikov, J. Smith (2006)
Fundamenta Mathematicae
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We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
Groups preserving the cardinality of subsets product under permutations
Yang Kok Kim (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Growth tightness of free and amalgamated products
Andrea Sambusetti (2002)
Annales scientifiques de l'École Normale Supérieure
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The conjugacy problem for groups, and Higman embeddings.
Ol'shanskii, A.Yu., Sapir, M.V. (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On Finitely Generated Soluble Linear Groups.
Bertram A.F. Wehrfritz (1980)
Mathematische Zeitschrift
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Positively finitely generated groups.
Avinoam Mann (1996)
Forum mathematicum
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A combinatorial problem in infinite groups.
Abdollahi, Alireza (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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On a class of residually finite groups.
Taeri, Buan (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Large-scale isoperimetry on locally compact groups and applications
Romain Tessera (2006-2007)
Séminaire de théorie spectrale et géométrie
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We introduce various notions of large-scale isoperimetric profile on a locally compact, compactly generated amenable group. These asymptotic quantities provide measurements of the degree of amenability of the group. We are particularly interested in a class of groups with exponential volume growth which are the most amenable possible in that sense. We show that these groups share various interesting properties such as the speed of on-diagonal decay of random walks, the vanishing of the...