A sharper Tits alternative for 3-manifold groups

DOI10.1007/BF02773691zbMath0781.57006MaRDI QIDQ1802720

Walter R. Parry

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fundamental groupexponential growth\(p\)-adic analytic groupsnilpotent-by-finitefree subgroup of rank 2closed, orientable, irreducible 3-manifoldrank of the first mod \(p\) homology groupsolvable-by- finite

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Analysis on (p)-adic Lie groups (22E35) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

Strong Tits alternatives for compact 3-manifolds with boundary, On the Tits alternative for \(PD(3)\) groups

Cites Work

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• A group theoretic characterization of linear groups
• \(p\)-adic analytic groups
• Growth of finitely generated solvable groups
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Free subgroups in linear groups
• Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds
• Groups whose three-generator subgroups are free
• Solvable Fundamental Groups of Compact 3-Manifolds