@article{ASENS_1997_4_30_2_147_0, author = {Paulin, Fr\'ed\'eric}, title = {Sur les automorphismes ext\'erieurs des groupes hyperboliques}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {147--167}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 30}, number = {2}, year = {1997}, doi = {10.1016/s0012-9593(97)89917-x}, mrnumber = {98c:20070}, zbl = {0877.20014}, language = {fr}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(97)89917-x/} }
TY - JOUR AU - Paulin, Frédéric TI - Sur les automorphismes extérieurs des groupes hyperboliques JO - Annales scientifiques de l'École Normale Supérieure PY - 1997 SP - 147 EP - 167 VL - 30 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(97)89917-x/ DO - 10.1016/s0012-9593(97)89917-x LA - fr ID - ASENS_1997_4_30_2_147_0 ER -
%0 Journal Article %A Paulin, Frédéric %T Sur les automorphismes extérieurs des groupes hyperboliques %J Annales scientifiques de l'École Normale Supérieure %D 1997 %P 147-167 %V 30 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(97)89917-x/ %R 10.1016/s0012-9593(97)89917-x %G fr %F ASENS_1997_4_30_2_147_0
Paulin, Frédéric. Sur les automorphismes extérieurs des groupes hyperboliques. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 30 (1997) no. 2, pp. 147-167. doi : 10.1016/s0012-9593(97)89917-x. http://www.numdam.org/articles/10.1016/s0012-9593(97)89917-x/
[AB] Length functions of group actions on Λ-trees, (Combinatorial group theory and topology, S. Gersten, J. Stallings eds, Princeton Univ. Press 1987, p. 265-378). | MR | Zbl
et ,[Bau] Lecture notes on nilpotent groups, (CBMS Reg. Conf. Ser. Math., vol. 2, Amer. Math. Soc. 1971). | MR | Zbl
,[Bes] Degenerations of the hyperbolic space, (Duke Math. J., vol. 56, 1988, p. 143-161. | MR | Zbl
,[BF1] Stable actions of groups on real trees, (Inv. Math., vol. 121, 1995, p. 287-321). | MR | Zbl
et ,[BF2] Outer limits, prépublication, Oct. 1992.
et ,[BFH] The Tits alternative for Out(Fn) I : Dynamics of exponentially growing automorphisms, II : A Kolchin type theorem, III : Solvable subgroups, Prépublications Univ. Utah, 1996.
, et ,[BH] Train tracks and automorphisms of free groups, (Ann. Math., vol. 135, 1992, p. 1-51). | MR | Zbl
et ,[BLM] Abelian and solvable subgroups of the mapping class group, (Duke Math. J., vol. 50, 1983, p. 1107-1120). | MR | Zbl
, et ,[Bou] Topologie générale, chap. 1 à 4, Hermann, Paris, 1971. | Zbl
,[Bow] Group actions on trees and dendrons, Prépublication Univ. Southampton, Nov. 1995.
,[Bra] The integral cohomology of Out+ (F3), à paraître dans J. Pure App. Alg. | Zbl
,[Cha] Propriétés statistiques des groupes de présentation fini, (Adv. Math., vol. 116, 1995, p. 197-262). | MR | Zbl
,[CL] Very small group actions on ℝ-trees and Dehn twist automorphisms, (Topology, vol. 34, 1995, p. 575-617). | MR | Zbl
et ,[CM] Groups actions on ℝ-trees, (Proc. Lond. Math. Soc, vol. 55, 1987, p. 571-604). | MR | Zbl
et ,[CV1] Moduli of graphs and automorphisms of free groups, (Invent. Math., vol. 84, 1986, p. 91-119). | MR | Zbl
et ,[CV2] The boundary of Outer Space in rank 2, (Arboreal group theory, R. Alperin ed., pp 189-230, Pub. M.S.R.I. Vol. 19, Springer Verlag 1991). | MR | Zbl
et ,[Cul] Finite groups of outer automorphisms of a free group, (Contributions to group theory, K. Appel, J. Ratcliffe, P. Schupp, eds, pp 197-207, Contemp. Math. Amer. Math. Soc). | MR | Zbl
,[DW] On Gromov's theorem concerning groups of polynomial growth and elementary logic, (J. Alg., vol. 89, 1984, p. 349-374). | MR | Zbl
et ,[FLP] Travaux de Thurston sur les surfaces, (Astérisque, vol. 66-67, Soc. Math. France, 1979). | MR
, et ,[GH] Sur les groupes hyperboliques d'après Mikhael Gromov (Prog. in Math., vol. 83, Birkhäuser 1990). | MR | Zbl
et ,[Ghy] Les groupes hyperboliques, (Séminaire Bourbaki, vol. 722, Astérisque, Soc. Math. France, 1991). | Numdam
,[GL] The rank of actions on ℝ-trees, (Ann. Scien. Ec. Norm. Sup. (4), vol. 28, 1995, p. 549-570). | Numdam | MR | Zbl
et ,[GLL] A dendrological proof of the Scott conjecture for automorphisms of free groups, prépublication Toulouse, Mars 1993.
, et ,[Gre] Invariant means on topological groups, (Van Nostrand Math. Stud., vol. 16, Van Nostrand 1969). | MR | Zbl
,[Gro1] Groups of polynomial growth and expanding maps, (Pub. I.H.E.S., vol. 53, 1981, p. 53-78). | Numdam | MR | Zbl
,[Gro2] Hyperbolic groups, (Essays in group theory, S. Gersten ed., pp. 75-263, MSRI Pub., vol. 8, Springer Verlag 1987). | MR | Zbl
,[Gro3] Asymptotics invariants of infinite groups, (Vol. 2 de Geometric group theory, A. Niblo, M. Roller eds, LMS LNS, vol. 182, Cambridge Univ. Press, 1993). | MR | Zbl
,[GS] Dendrology of groups in low ℚ-ranks, (J. Diff. Geom., vol. 32, 1990, p. 605-712). | MR | Zbl
et ,[Iva] Subgroups of Teichmüller modular groups, (Transl. Math. Mono., vol. 115, Amer. Math. Soc. 1992). | MR | Zbl
,[KL] On asymptotic cones and quasi-isometry classes of fundamental groups of 3-manifolds, (GAFA, vol. 5, 1995, p. 582-603). | MR | Zbl
et ,[Lev] Feuilletages des surfaces, Thèse d'Etat, Univ. Orsay, 1983.
,[Lio] Feuilletages affines de surfaces et actions affines sur les arbres réels, Thèse, Toulouse (Fév. 1994).
,[Lus1] Habilitationsschrift, Bochum, 1992.
,[Lus2] Automorphisms, train tracks, and non-simplicial ℝ-tree actions, Prépublication Bochum, 1993.
,[Mor] Λ-trees and their applications, (Bull. Amer. Math. Soc., vol. 26, 1992, p. 87-112). | MR | Zbl
,[MS] Free actions of surface groups on ℝ-trees, (Topology, vol. 30, 1991, p. 143-154). | MR | Zbl
et ,[Ols] Almost every group is hyperbolic, (Int. J. Alg. Comp., vol. 2, 1992, p. 1-17). | MR | Zbl
,[Pau1] The Gromov topology on ℝ-trees, (Topology and its App., vol. 32, 1989, p. 197-221). | MR | Zbl
,[Pau2] Topologie de Gromov équivariante, structures hyperboliques et arbres réels, (Invent. Math., vol. 94, 1988, p. 53-80). | MR | Zbl
,[Pau3] Outer automorphisms of hyperbolic groups and small actions on ℝ-trees, (Arboreal group theory, R. Alperin ed., pp 331-343, Pub. M.S.R.I., vol. 19, Springer Verlag, 1991). | MR | Zbl
,[Pau4] Points fixes des automorphismes de groupe hyperbolique (Ann. Inst. Fourier, vol. 39, 1989, p. 651-662). | Numdam | MR | Zbl
,[Pau5] De la géométrie et la dynamique des groupes discrets, (Mémoire d'Habilitation, ENS Lyon, Juin 1995).
,[RS1] Structure and rigidity in hyperbolic groups I, (Geom. and Func. Ana., vol. 4, 1994, p. 337-371). | MR | Zbl
et ,[RS2] Cyclic splittings of finitely presented groups and the canonical JSJ decomposition, Prépublication Columbia, Avril 1995.
et ,[Sel1] Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups II, Prépublication Princeton, 1993.
,[Sel2] On the Nielsen-Thurston classification and automorphisms of free groups I, II, à paraître dans Duke Math. J. | Zbl
,[Sha1] Dendrology of groups : an introduction, (Essays in group theory (S.M. Gersten ed.), M.S.R.I Pub., vol. 8, Springer Verlag, 1987). | MR | Zbl
,[Sha2] Dendrology and its applications, (Group theory from a geometrical viewpoint (E. GHYS, A. HAEFLIGER et A. VERJOVSKY eds.), World Scientific, 1991). | MR | Zbl
,[Sko1] Splittings of surfaces, (Jour. Amer. Math. Soc., vol. 9, 1996, p. 605-616). | MR | Zbl
,[Sko2] Deformations of length functions, prépublication, 1989.
,[Thu] On the geometry and dynamics of diffeomorphisms of surfaces, (Bull. Amer. Math. Soc., vol. 19, 1988, p. 417-432). | MR | Zbl
,[Vog] End invariants of the group of outer automorphisms of a free group, (Topology, vol. 34, 1995, p. 533-545). | MR | Zbl
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