The growth of linear groups

DOI10.1006/jabr.1997.7186zbMath0892.20023OpenAlexW2014506781MaRDI QIDQ1379070

Yehuda Shalom

Publication date: 3 June 1998

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

Full work available at URL: https://semanticscholar.org/paper/621b79294b004c529233a1b81ea681ee35bba581

zbMATH Keywords

polynomial growthsubgroups of finite indexexponential growthTits alternativefinitely generated linear groupsgrowth dichotomy

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

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A finitary version of Gromov's polynomial growth theorem. ⋮ Amenability of Groups and G-Sets ⋮ A new proof of Gromov’s theorem on groups of polynomial growth ⋮ Harmonic analysis, cohomology, and the large-scale geometry of amenable groups ⋮ The central limit problem on locally compact groups

Cites Work

• Kazhdan groups acting on compact manifolds
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Free subgroups in linear groups
• Produits de matrices aléatoires et applications aux propriétés géometriques des sous-groupes du groupe linéaire
• A Note on Borel's Density Theorem
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