@incollection{SB_1995-1996__38__97_0, author = {Paulin, Fr\'ed\'eric}, title = {Actions de groupes sur les arbres}, booktitle = {S\'eminaire Bourbaki : volume 1995/96, expos\'es 805-819}, series = {Ast\'erisque}, note = {talk:808}, pages = {97--137}, publisher = {Soci\'et\'e math\'ematique de France}, number = {241}, year = {1997}, mrnumber = {1472536}, zbl = {0984.20015}, language = {fr}, url = {http://www.numdam.org/item/SB_1995-1996__38__97_0/} }
TY - CHAP AU - Paulin, Frédéric TI - Actions de groupes sur les arbres BT - Séminaire Bourbaki : volume 1995/96, exposés 805-819 AU - Collectif T3 - Astérisque N1 - talk:808 PY - 1997 SP - 97 EP - 137 IS - 241 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1995-1996__38__97_0/ LA - fr ID - SB_1995-1996__38__97_0 ER -
%0 Book Section %A Paulin, Frédéric %T Actions de groupes sur les arbres %B Séminaire Bourbaki : volume 1995/96, exposés 805-819 %A Collectif %S Astérisque %Z talk:808 %D 1997 %P 97-137 %N 241 %I Société mathématique de France %U http://www.numdam.org/item/SB_1995-1996__38__97_0/ %G fr %F SB_1995-1996__38__97_0
Paulin, Frédéric. Actions de groupes sur les arbres, in Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Talk no. 808, 41 p. http://www.numdam.org/item/SB_1995-1996__38__97_0/
[1] Length functions of group actions on A-trees, in "Combinatorial group theory and topology", S. Gersten, J. Stallings eds, Princeton Univ. Press (1987), 265-378. | MR | Zbl
, .[2] Finitely generated subgroup of GL2, dans "Smith conjecture", J. Morgan, H. Bass, eds. Academic Press (1984), 127-136. | MR | Zbl
.[3] Covering theory for graphs of groups, J. Pure Appl. Math. 89 (1993) 3-47. | MR | Zbl
.[4] Uniform tree lattices, Jour. Amer. Math. Soc 3 (1990) 843-902. | DOI | MR | Zbl
, .[5] Rigidity of group actions on locally finite trees, Prépublication, 1994. | MR | Zbl
, .[6] Uniformisation p-adique des courbes de Shimura: les théorèmes de Cerednik et Drinfeld, Astérisque 196-197 (1991). | MR | Zbl
, .[7] Degenerations of the hyperbolic space, Duke Math. J., 56 (1988) 143-161. | DOI | MR | Zbl
.[8] Bounding the complexity of simplicial group actions on trees, Inv. Math. 103 (1991) 449-469. | DOI | EuDML | MR | Zbl
, .[9] Stable actions of groups on real trees, Inv. Math. 121 (1995) 287-321. | DOI | EuDML | MR | Zbl
, .[10] Outer limits, prépublication (Oct. 1992).
, .[11] Topologie générale, chap. 1 à 4, Hermann, Paris, 1971. | MR | Zbl
.[12] Discrete parabolic groups, J. Diff. Geom. 38 (1993) 559-583. | DOI | MR | Zbl
.[13] Cut points and canonical splittings of hyperbolic groups, Prépublication Univ. Southampton (Août 1995). | Zbl
.[14] Groupes réductifs sur un corps local (données radicielles valuées), Pub. Math. I.H.É.S. 41 (1972) 5-252. | DOI | EuDML | Numdam | MR | Zbl
, .[15] CAT(-1) spaces, divergence groups and their commensurators, Jour. Amer. Math. Soc 9 (1996) 57-93. | DOI | MR | Zbl
, .[16] Automorphisms of surfaces after Nielsen and Thurston, Lond. Math. Soc. Stud. Text 9, Camb. Univ. Press (1992). | MR | Zbl
, .[17] Non standard analysis and the Morgan-Shalen compactification, Quart. J. Math. Oxford 42 (1991) 257-270. | DOI | MR | Zbl
.[18] Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits, Mémoire 58 Soc. Math. France (1994). | EuDML | Numdam | MR | Zbl
,[19] Groups actions on R-trees, Proc. Lond. Math. Soc 55 (1987) 571-604. | DOI | MR | Zbl
, .[20] Varieties of group representations and splittings of 3- manifolds, Ann. of Math. 117 (1983) 109-146. | DOI | MR | Zbl
, .[21] Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91-119. | DOI | EuDML | MR | Zbl
, .[22] The boundary of Outer Space in rank 2, in "Arboreal group theory", R. Alperin ed., pp 189-230, Pub. M.S.R.I. 19, Springer Verlag 1991. | MR | Zbl
, .[23] L'image d'un groupe dans un groupe hyperbolique, Comm. Math. Helv. 70 (1995) 267-284. | DOI | EuDML | MR | Zbl
.[24] Décomposition d'un groupe en produit libre ou somme amalgamée, à paraître dans J. Reine. Ang. Math. | EuDML | MR | Zbl
.[25] Finitely presented subgroups of hyperbolic groups, prépublication Univ. Strasbourg 1995. | Zbl
.[26] Groupes de présentation finie opérant dans un espace hyperbolique, en préparation.
.[27] On Gromov's theorem concerning groups of polynomial growth and elementary logic, J. Alg. 89 (1984) 349-374. | DOI | MR | Zbl
, .[28] The accessibility of finitely presented groups, Inv. Math. 81 (1985) 449-457. | DOI | EuDML | MR | Zbl
.[29] An inaccessible group, in "Geometric group theory" Vol. 1, A. Niblo, M. Roller eds, LMS LNS 182, Cambridge Univ. Press, 1993, 75-78. | DOI | MR | Zbl
.[30] Groups acting on protrees, prépublication Southampton Univ. (Avr. 1994). | Zbl
.[31] JSJ-splittings for finitely presented groups over slender groups, prépublication Southampton Univ. (Août 1996). | Zbl
, .[32] Travaux de Thurston sur les surfaces, Astérisque 66-67, Soc. Math. France 1979. | Numdam | MR | Zbl
, , .[33] Harmonic analysis and representation theory for groups acting on homogeneous trees, Lond. Math. Soc. Lect. Notes Ser. 162, Cambridge Univ. Press 1991. | MR | Zbl
, .[34] Générateurs indépendants pour les systèmes d'isométries de dimension un, à paraître aux Ann. Inst. Fourier. | EuDML | Numdam | MR | Zbl
.[35] The rank of actions on R-trees, Ann. Scien. Ec. Norm. Sup. (4) 28 (1995) 549-570. | DOI | EuDML | Numdam | MR | Zbl
, .[36] Pseudogroups of isometries of R and Rips' theorem on free actions on R-trees, Israel J. Math. 87 (1994) 403-428. | DOI | MR | Zbl
, , .[37] Pseudogroups of isometries of R and reconstruction of free actions on R-trees, Erg. Theo. Dyn. Sys. 15 (1995) 633-652. | MR | Zbl
, , .[38] Drinfeld modular curves, Lect. Notes 1231 Springer Verlag (1986). | MR | Zbl
.[39] Schottky groups and Mumford curves, Lect. Notes 817 Springer Verlag (1980). | MR | Zbl
, .[40] Les groupes hyperboliques, Séminaire Bourbaki 722, Astérisque 189- 190, Soc. Math. France (1990). | EuDML | Numdam | MR | Zbl
.[41] Sur les groupes hyperboliques d'après Mikhael Gromov, Prog. in Math. 83, Birkhäuser 1990. | DOI | MR | Zbl
, , eds.[42] Dendrology of groups in low Q-ranks, J. Diff. Geom. 32 (1990) 605-712. | DOI | MR | Zbl
, .[43] The space of -adic norms, Acta Math. 109 (1963) 137-177. | DOI | MR | Zbl
, .[44] Hyperbolic groups, in "Essays in group theory", S. Gersten ed., pp. 75-263, MSRI Pub. 8, Springer Verlag 1987. | MR | Zbl
.[45] Asymptotics invariants of infinite groups, Vol. 2 de "Geometric group theory", A. Niblo, M. Roller eds, LMS LNS 182, Cambridge Univ. Press, 1993. | MR
.[46] Complexes of groups and orbihedra, in "Group theory from a geometrical viewpoint" (E. Ghys, A. Haefliger, A. Verjovsky eds.), 504-540 World Scientific, 1991. | MR | Zbl
.[47] On codimension one foliations defined by closed one forms with singularities, J. Math. Kyoto Univ. 19 (1979) 285-291. | DOI | MR | Zbl
.[48] Subgroups of Teichmüller modular groups, Trans. Math. Mono. 115, Amer. Math. Soc. (1992). | MR | Zbl
.[49] Seifert fibered spaces in 3-manifolds, Memoirs 220, Amer. Math. Soc. 1979. | MR | Zbl
, .[50] Homotopy equivalences of 3-manifolds with boundaries, Lect. Notes in Math. 761, Springer Verlag, 1979. | MR | Zbl
.[51] Rigidity of quasi-isometries for symmetric spaces of higher rank, Preprint, Jan. 1995. | MR
, .[52] Travaux de J. Stallings sur la décomposition des groupes en produits libres, Sém. Bourbaki 1968/1969 n° 356, Lect. Notes 179, Springer Verlag, 1971. | EuDML | Numdam | MR | Zbl
.[53] Théorèmes de non-décidabilité, Sém. Bourbaki 1963/64 n° 266, Benjamin, 1966. | EuDML | Numdam | MR | Zbl
.[54] La dynamique des pseudogroupes de rotations, Invent. Math. 113 (1993) 633-670. | DOI | EuDML | MR | Zbl
.[55] Constructing free actions on R-trees, Duke Math. J. 69 (1993) 615-633. | DOI | MR | Zbl
.[56] Geometric group actions on trees, à paraître dans Amer. Jour. Math. | MR | Zbl
, .[57] Density of the commensurability group of uniform tree lattices, J. Alg. 165 (1995) 346-359. | DOI | MR | Zbl
.[58] Lattices in rank one Lie groups over local fields, GAFA 1 (1991), 405-431. | EuDML | MR | Zbl
.[59] Superrigidity for the commensurability group of tree lattices, Comm. Math. Helv. 69 (1994) 523-548. | DOI | EuDML | MR | Zbl
, , .[60] Maximal subgroups of infinite index in finitely generated groups, J. Alg. 69 (1981) 1-23. | DOI | MR | Zbl
, .[61] On discrete isometry groups of negative curvature, Pac. J. Math. 160 (1993), 109-127. | DOI | MR | Zbl
,[62] A-trees and their applications, Bull. A.M.S. 26 (1992) 87-112. | DOI | MR | Zbl
.[63] Groups actions on trees and the compactification of the space of conjugacy classes of SO(n,1)-representations, Topology 25 (1986) 1-33. | DOI | MR | Zbl
.[64] Valuations, trees and degeneration of hyperbolic structures I, Ann. Math. 122 (1985) 398-476. | MR | Zbl
, .[65] Valuations, trees and degeneration of hyperbolic structures II, III, Ann. Math. 127 (1988) 403-519. | DOI | MR | Zbl
, .[66] Free actions of surface groups on R-trees, Topology 30 (1991) 143-154. | DOI | MR | Zbl
, .[67] Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3, Astérisque 235, Soc. Math. France (1996). | MR | Zbl
.[68] Sous-groupes discrets des groupes de Lie :rigidité, arithméticité, Sém. Bourbaki 1993/94 n° 778, Astérisque 227, Soc. Math. France (1995), 69-105. | EuDML | Numdam | MR | Zbl
,[69] Topologie de Gromov équivariante, structures hyperboliques et arbres réels, Invent. Math. 94 (1988), 53-80. | DOI | EuDML | MR | Zbl
.[70] Outer automorphisms of hyperbolic groups and small actions on R- trees, in "Arboreal group theory", R. Alperin ed., pp 331-343, Pub. M.S.R.I. 19, Springer Verlag 1991. | MR | Zbl
.[71] Sur les automorphismes extérieurs des groupes hyperboliques, à paraître, Ann. Scien. Ecol. Norm. Sup. | EuDML | Numdam | MR | Zbl
.[72] De la géométrie et la dynamique des groupes discrets, Mémoire d'habilitation, ENS Lyon (Juin 1995).
.[73] Travaux de Thurston sur les difféomorphismes des surfaces et l'espace de Teichmüller, Sém. Bourbaki 1978/79 n° 529, Lect. Notes 770, Springer Verlag, 1980. | EuDML | Numdam | MR | Zbl
.[74] Oeuvres complètes, tome II, Gauthier-Villars, 1952. | MR | Zbl
,[75] Construction analytique de courbes en géométrie non archimédienne [d'après David Mumford], Séminaire Bourbaki 427, Lect. Notes 383, Springer Verlag (1994), 171-185. | EuDML | Numdam | MR | Zbl
.[76] Structure and rigidity in hyperbolic groups I, Geom. and Func. Ana. 4 (1994), 337-371. | EuDML | MR | Zbl
, .[77] Canonical representatives and equations in hyperbolic groups, Inv. Math. 120 (1995), 489-512. | DOI | EuDML | MR | Zbl
, .[78] Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Prépublication Columbia (Avril 1995). | DOI | MR | Zbl
, .[79] Caractérisation algébrique des groupes de type fini ayant un problème des mots résoluble, Sém. Bourbaki 1974/75 n° 356, Lect. Notes 179, Springer Verlag, 1971. | Numdam | MR | Zbl
.[80] Topological methods in group theory, in "Homological group theory", C.T.C. Wall ed., Lond. Math. Soc. Lect. Notes 36, Cambridge Univ. Press (1979) 137-203. | MR | Zbl
, .[81] The isomorphism problem for hyperbolic groups I, Ann. Math. 141 (1995) 217-283. | DOI | MR | Zbl
.[82] Acylindrical accessibility for groups, Prépublication Columbia Univ. (1994). | Zbl
.[83] Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups II, à paraître dans GAFA. | Zbl
.[84] On the Nielsen-Thurston classification and automorphisms of free groups I, à paraître dans Duke Math. J. | MR | Zbl
.[85] Arbres, amalgames, SL2, Astérisque 46 , Soc. Math. France (1983). | Numdam | MR | Zbl
.[86] Dendrology of groups: an introduction, Essays in group theory (S.M. Gersten ed.), M.S.R.I Pub. 8, Springer Verlag, 1987. | MR | Zbl
.[87] Dendrology and its applications, Group theory from a geometrical viewpoint (E. Ghys, A. Haefliger, A. Verjovsky eds.), World Scientific, 1991. | MR | Zbl
.[88] Algebraic topology, Tata McGraw Hill (1966). | MR | Zbl
.[89] On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417-432. | DOI | MR | Zbl
.[90] Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds, Ann. of Math. 124 (1986) 203-246. | DOI | MR | Zbl
.[91] A "theorem of Lie-Kolchin" for trees, in "Contributions to Algebra: a collection of papers dedicated to Ellis Kolchin", pp. 377-388, H. Bass et al eds, Academic Press 1977. | MR | Zbl
.[92] Immeubles de type affine, dans "Buildings and the geometry of diagrams", Proc. CIME Como 1984, L. Rosati ed., Lect. Notes 1181, Springer Verlag, 1986, 159-190. | MR | Zbl
.[93] Pair of relative cohomological dimension one, J. Pure App. Alg. 1 (1971) 141-154. | DOI | MR | Zbl
.