Dendrology of groups in low \({\mathbb{Q}}\)-ranks

DOI10.4310/jdg/1214445533zbMath0732.20011OpenAlexW1595677505WikidataQ115410175 ScholiaQ115410175MaRDI QIDQ809178

Peter B. Shalen, Henri A. Gillet

Publication date: 1990

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214445533

zbMATH Keywords

linear algebraic groupsBruhat-Tits buildingssurface groupssimplicial actions\(\Lambda \) -treesfree product of infinite cyclic groupsfree products with amalgamationsgroups acting on simplicial treesmeasured foliations on singular surfaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group actions on manifolds and cell complexes in low dimensions (57M60) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Groups acting on trees (20E08)

Related Items (16)

Structure and rigidity in hyperbolic groups. I ⋮ Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees ⋮ Λ-trees and their applications ⋮ Poisson boundary of groups acting on \(\mathbb R\)-trees. ⋮ Splittings of surfaces ⋮ The boundary of the outer space of a free product ⋮ The rank of actions on ${R}$-trees ⋮ Splittings of Surfaces ⋮ Sur les automorphismes extérieurs des groupes hyperboliques ⋮ Independent generators for one-dimensional systems of isometries ⋮ Divisible convex sets. IV: Boundary structure in dimension 3 ⋮ New examples of groups acting on real trees ⋮ Quasicircles and the conformal group ⋮ Quasicircles and the conformal group ⋮ Constructing free actions on \(\mathbf R\)-trees ⋮ On equalizers of sections.

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