Actions de groupes sur les arbres
Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Exposé no. 808, 41 p.

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl EuDML
Paulin, Frédéric. Actions de groupes sur les arbres, dans Séminaire Bourbaki : volume 1995/96, exposés 805-819, Astérisque, no. 241 (1997), Exposé no. 808, 41 p.. http://geodesic.mathdoc.fr/item/SB_1995-1996__38__97_0/
@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},
     year = {1997},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {241},
     mrnumber = {1472536},
     zbl = {0984.20015},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/item/SB_1995-1996__38__97_0/
%G fr
%F SB_1995-1996__38__97_0

[1] R. Alperin, H. Bass. 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. | Zbl | MR

[2] H. Bass. Finitely generated subgroup of GL2, dans "Smith conjecture", J. Morgan, H. Bass, eds. Academic Press (1984), 127-136. | Zbl | MR

[3] H. Bass. Covering theory for graphs of groups, J. Pure Appl. Math. 89 (1993) 3-47. | Zbl | MR

[4] H. Bass, R. Kulkarni. Uniform tree lattices, Jour. Amer. Math. Soc 3 (1990) 843-902. | Zbl | MR | DOI

[5] H. Bass, A. Lubotzky. Rigidity of group actions on locally finite trees, Prépublication, 1994. | MR | Zbl

[6] J.-F. Boutot, H. Carayol. Uniformisation p-adique des courbes de Shimura: les théorèmes de Cerednik et Drinfeld, Astérisque 196-197 (1991). | Zbl | MR

[7] M. Bestvina. Degenerations of the hyperbolic space, Duke Math. J., 56 (1988) 143-161. | Zbl | MR | DOI

[8] M. Bestvina, M. Feighn. Bounding the complexity of simplicial group actions on trees, Inv. Math. 103 (1991) 449-469. | Zbl | MR | EuDML | DOI

[9] M. Bestvina, M. Feighn. Stable actions of groups on real trees, Inv. Math. 121 (1995) 287-321. | Zbl | MR | EuDML | DOI

[10] M. Bestvina, M. Feighn. Outer limits, prépublication (Oct. 1992).

[11] N. Bourbaki. Topologie générale, chap. 1 à 4, Hermann, Paris, 1971. | Zbl | MR

[12] B. Bowditch. Discrete parabolic groups, J. Diff. Geom. 38 (1993) 559-583. | Zbl | MR | DOI

[13] B. Bowditch. Cut points and canonical splittings of hyperbolic groups, Prépublication Univ. Southampton (Août 1995). | Zbl

[14] F. Bruhat, J. Tits. Groupes réductifs sur un corps local (données radicielles valuées), Pub. Math. I.H.É.S. 41 (1972) 5-252. | Numdam | Zbl | MR | EuDML | DOI

[15] M. Burger, S. Mozes. CAT(-1) spaces, divergence groups and their commensurators, Jour. Amer. Math. Soc 9 (1996) 57-93. | Zbl | MR | DOI

[16] A. Casson, S. Bleiler. Automorphisms of surfaces after Nielsen and Thurston, Lond. Math. Soc. Stud. Text 9, Camb. Univ. Press (1992). | Zbl | MR

[17] I. M. Chiswell. Non standard analysis and the Morgan-Shalen compactification, Quart. J. Math. Oxford 42 (1991) 257-270. | Zbl | MR | DOI

[18] F. M. Choucroun, Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits, Mémoire 58 Soc. Math. France (1994). | Numdam | Zbl | MR | EuDML

[19] M. Culler, J. Morgan. Groups actions on R-trees, Proc. Lond. Math. Soc 55 (1987) 571-604. | Zbl | MR | DOI

[20] M. Culler, P. B. Shalen. Varieties of group representations and splittings of 3- manifolds, Ann. of Math. 117 (1983) 109-146. | Zbl | MR | DOI

[21] M. Culler, K. Vogtmann. Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91-119. | Zbl | MR | EuDML | DOI

[22] M. Culler, K. Vogtmann. 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. | Zbl | MR

[23] T. Delzant. L'image d'un groupe dans un groupe hyperbolique, Comm. Math. Helv. 70 (1995) 267-284. | Zbl | MR | EuDML | DOI

[24] T. Delzant. Décomposition d'un groupe en produit libre ou somme amalgamée, à paraître dans J. Reine. Ang. Math. | Zbl | MR | EuDML

[25] T. Delzant. Finitely presented subgroups of hyperbolic groups, prépublication Univ. Strasbourg 1995. | Zbl

[26] T. Delzant. Groupes de présentation finie opérant dans un espace hyperbolique, en préparation.

[27] L. Van Den Dries, A. Wilkie. On Gromov's theorem concerning groups of polynomial growth and elementary logic, J. Alg. 89 (1984) 349-374. | Zbl | MR | DOI

[28] M. J. Dunwoody. The accessibility of finitely presented groups, Inv. Math. 81 (1985) 449-457. | Zbl | MR | EuDML | DOI

[29] M. J. Dunwoody. An inaccessible group, in "Geometric group theory" Vol. 1, A. Niblo, M. Roller eds, LMS LNS 182, Cambridge Univ. Press, 1993, 75-78. | Zbl | MR | DOI

[30] M. J. Dunwoody. Groups acting on protrees, prépublication Southampton Univ. (Avr. 1994). | Zbl

[31] M. J. Dunwoody, M. E. Sageev. JSJ-splittings for finitely presented groups over slender groups, prépublication Southampton Univ. (Août 1996). | Zbl

[32] A. Fathi, F. Laudenbach, V. Poenaru. Travaux de Thurston sur les surfaces, Astérisque 66-67, Soc. Math. France 1979. | Zbl | MR | Numdam

[33] A. Figa-Talamanka, C. Nebia. 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] D. Gaboriau. Générateurs indépendants pour les systèmes d'isométries de dimension un, à paraître aux Ann. Inst. Fourier. | Numdam | Zbl | EuDML | MR

[35] D. Gaboriau, G. Levitt. The rank of actions on R-trees, Ann. Scien. Ec. Norm. Sup. (4) 28 (1995) 549-570. | Numdam | Zbl | MR | EuDML | DOI

[36] D. Gaboriau, G. Levitt, F. Paulin. Pseudogroups of isometries of R and Rips' theorem on free actions on R-trees, Israel J. Math. 87 (1994) 403-428. | Zbl | MR | DOI

[37] D. Gaboriau, G. Levitt, F. Paulin. Pseudogroups of isometries of R and reconstruction of free actions on R-trees, Erg. Theo. Dyn. Sys. 15 (1995) 633-652. | Zbl | MR

[38] E. Gekeler. Drinfeld modular curves, Lect. Notes 1231 Springer Verlag (1986). | Zbl | MR

[39] L. Gerritzen, M. Van Der Put. Schottky groups and Mumford curves, Lect. Notes 817 Springer Verlag (1980). | Zbl | MR

[40] É. Ghys. Les groupes hyperboliques, Séminaire Bourbaki 722, Astérisque 189- 190, Soc. Math. France (1990). | Numdam | Zbl | MR | EuDML

[41] É. Ghys, P. De La Harpe, eds. Sur les groupes hyperboliques d'après Mikhael Gromov, Prog. in Math. 83, Birkhäuser 1990. | Zbl | MR | DOI

[42] H. Gillet, P. Shalen. Dendrology of groups in low Q-ranks, J. Diff. Geom. 32 (1990) 605-712. | Zbl | MR | DOI

[43] O. Goldman, N. Iwahori. The space of p -adic norms, Acta Math. 109 (1963) 137-177. | Zbl | MR | DOI

[44] M. Gromov. Hyperbolic groups, in "Essays in group theory", S. Gersten ed., pp. 75-263, MSRI Pub. 8, Springer Verlag 1987. | Zbl | MR

[45] M. Gromov. 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] A. Haefliger. Complexes of groups and orbihedra, in "Group theory from a geometrical viewpoint" (E. Ghys, A. Haefliger, A. Verjovsky eds.), 504-540 World Scientific, 1991. | Zbl | MR

[47] H. Imanishi. On codimension one foliations defined by closed one forms with singularities, J. Math. Kyoto Univ. 19 (1979) 285-291. | Zbl | MR | DOI

[48] N. V. Ivanov. Subgroups of Teichmüller modular groups, Trans. Math. Mono. 115, Amer. Math. Soc. (1992). | Zbl | MR

[49] W. H. Jaco, P. B. Shalen. Seifert fibered spaces in 3-manifolds, Memoirs 220, Amer. Math. Soc. 1979. | Zbl | MR

[50] K. Johannson. Homotopy equivalences of 3-manifolds with boundaries, Lect. Notes in Math. 761, Springer Verlag, 1979. | Zbl | MR

[51] B. Kleiner, B. Leeb. Rigidity of quasi-isometries for symmetric spaces of higher rank, Preprint, Jan. 1995. | MR

[52] J.-L. Koszul. Travaux de J. Stallings sur la décomposition des groupes en produits libres, Sém. Bourbaki 1968/1969 n° 356, Lect. Notes 179, Springer Verlag, 1971. | Numdam | Zbl | EuDML | MR

[53] D. Lacombe. Théorèmes de non-décidabilité, Sém. Bourbaki 1963/64 n° 266, Benjamin, 1966. | Numdam | Zbl | MR | EuDML

[54] G. Levitt. La dynamique des pseudogroupes de rotations, Invent. Math. 113 (1993) 633-670. | Zbl | MR | EuDML | DOI

[55] G. Levitt. Constructing free actions on R-trees, Duke Math. J. 69 (1993) 615-633. | Zbl | MR | DOI

[56] G. Levitt, F. Paulin. Geometric group actions on trees, à paraître dans Amer. Jour. Math. | Zbl | MR

[57] Y. Liu. Density of the commensurability group of uniform tree lattices, J. Alg. 165 (1995) 346-359. | Zbl | MR | DOI

[58] A. Lubotzky. Lattices in rank one Lie groups over local fields, GAFA 1 (1991), 405-431. | Zbl | MR | EuDML

[59] A. Lubotzky, S. Mozes, R. Zimmer. Superrigidity for the commensurability group of tree lattices, Comm. Math. Helv. 69 (1994) 523-548. | Zbl | MR | EuDML | DOI

[60] G. Margulis, G. Soifer. Maximal subgroups of infinite index in finitely generated groups, J. Alg. 69 (1981) 1-23. | Zbl | MR | DOI

[61] G. Martin, On discrete isometry groups of negative curvature, Pac. J. Math. 160 (1993), 109-127. | Zbl | MR | DOI

[62] J. Morgan. A-trees and their applications, Bull. A.M.S. 26 (1992) 87-112. | Zbl | MR | DOI

[63] J. Morgan. Groups actions on trees and the compactification of the space of conjugacy classes of SO(n,1)-representations, Topology 25 (1986) 1-33. | Zbl | MR | DOI

[64] J. Morgan, P. Shalen. Valuations, trees and degeneration of hyperbolic structures I, Ann. Math. 122 (1985) 398-476. | Zbl | MR

[65] J. Morgan, P. Shalen. Valuations, trees and degeneration of hyperbolic structures II, III, Ann. Math. 127 (1988) 403-519. | MR | Zbl | DOI

[66] J. Morgan, P. Shalen. Free actions of surface groups on R-trees, Topology 30 (1991) 143-154. | Zbl | MR | DOI

[67] J.-P. Otal. Le théorème d'hyperbolisation pour les variétés fibrées de dimension 3, Astérisque 235, Soc. Math. France (1996). | Zbl | MR | Numdam

[68] P. Pansu, Sous-groupes discrets des groupes de Lie :rigidité, arithméticité, Sém. Bourbaki 1993/94 n° 778, Astérisque 227, Soc. Math. France (1995), 69-105. | Numdam | Zbl | MR | EuDML

[69] F. Paulin. Topologie de Gromov équivariante, structures hyperboliques et arbres réels, Invent. Math. 94 (1988), 53-80. | Zbl | MR | EuDML | DOI

[70] F. Paulin. 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. | Zbl | MR

[71] F. Paulin. Sur les automorphismes extérieurs des groupes hyperboliques, à paraître, Ann. Scien. Ecol. Norm. Sup. | Numdam | Zbl | MR | EuDML

[72] F. Paulin. De la géométrie et la dynamique des groupes discrets, Mémoire d'habilitation, ENS Lyon (Juin 1995).

[73] V. Poénaru. 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. | Numdam | Zbl | MR | EuDML

[74] H. Poincaré, Oeuvres complètes, tome II, Gauthier-Villars, 1952. | Zbl | MR

[75] M. Raynaud. Construction analytique de courbes en géométrie non archimédienne [d'après David Mumford], Séminaire Bourbaki 427, Lect. Notes 383, Springer Verlag (1994), 171-185. | Numdam | Zbl | MR | EuDML

[76] E. Rips, Z. Sela. Structure and rigidity in hyperbolic groups I, Geom. and Func. Ana. 4 (1994), 337-371. | Zbl | MR | EuDML

[77] E. Rips, Z. Sela. Canonical representatives and equations in hyperbolic groups, Inv. Math. 120 (1995), 489-512. | Zbl | MR | EuDML | DOI

[78] E. Rips, Z. Sela. Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Prépublication Columbia (Avril 1995). | Zbl | MR | DOI

[79] G. Sabbagh. 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 | Zbl | MR

[80] G. P. Scott, C. T. C. Wall. 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. | Zbl | MR

[81] Z. Sela. The isomorphism problem for hyperbolic groups I, Ann. Math. 141 (1995) 217-283. | Zbl | MR | DOI

[82] Z. Sela. Acylindrical accessibility for groups, Prépublication Columbia Univ. (1994). | Zbl

[83] Z. Sela. Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups II, à paraître dans GAFA. | Zbl

[84] Z. Sela. On the Nielsen-Thurston classification and automorphisms of free groups I, à paraître dans Duke Math. J. | Zbl | MR

[85] J.-P. Serre. Arbres, amalgames, SL2, Astérisque 46 , Soc. Math. France (1983). | Zbl | MR | Numdam

[86] P. Shalen. Dendrology of groups: an introduction, Essays in group theory (S.M. Gersten ed.), M.S.R.I Pub. 8, Springer Verlag, 1987. | Zbl | MR

[87] P. Shalen. Dendrology and its applications, Group theory from a geometrical viewpoint (E. Ghys, A. Haefliger, A. Verjovsky eds.), World Scientific, 1991. | Zbl | MR

[88] E. H. Spanier. Algebraic topology, Tata McGraw Hill (1966). | Zbl | MR

[89] W. Thurston. On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417-432. | Zbl | MR | DOI

[90] W. Thurston. Hyperbolic structures on 3-manifolds I: Deformation of acylindrical manifolds, Ann. of Math. 124 (1986) 203-246. | Zbl | MR | DOI

[91] J. Tits. 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. | Zbl | MR

[92] J. Tits. 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. | Zbl | MR

[93] C. T. C. Wall. Pair of relative cohomological dimension one, J. Pure App. Alg. 1 (1971) 141-154. | Zbl | MR | DOI