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Volumn , Issue 294, 2004, Pages 173-204

Groupes aléatoires [d'après Misha Gromov,...]

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EID: 32344431909     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Review
Times cited : (22)

References (55)
  • 1
    • 0002928014 scopus 로고
    • Notes on word hyperbolie groups
    • [Al91] World Sci. Publishing, River Edge, NJ
    • [Al91] J.M. ALONSO et al. - «Notes on word hyperbolie groups», in Group theory from a geometrical viewpoint (Trieste 1900), World Sci. Publishing, River Edge, NJ, 1991, p. 3-63.
    • (1991) Group Theory from A Geometrical Viewpoint (Trieste 1900) , pp. 3-63
    • Alonso, J.M.1
  • 2
    • 0038595369 scopus 로고    scopus 로고
    • Sur les groupes dont les sous-groupes ayant un nombre fixé de générateurs sont libres
    • [Ar97] en russe
    • [Ar97] G. ARZHANTSEVA - «Sur les groupes dont les sous-groupes ayant un nombre fixé de générateurs sont libres», Fundam. Prikl. Mat. 3 (1997), no. 3, p. 675-683, (en russe).
    • (1997) Fundam. Prikl. Mat. , vol.3 , Issue.3 , pp. 675-683
    • Arzhantseva, G.1
  • 3
    • 22444453777 scopus 로고    scopus 로고
    • Generic properties of finetely presented groups and Howson's theorem
    • [Ar98] _
    • [Ar98] _, «Generic properties of finetely presented groups and Howson's theorem», Comm. Algebra 26 (1998), no. 11, p. 3783-3792.
    • (1998) Comm. Algebra , vol.26 , Issue.11 , pp. 3783-3792
  • 4
    • 0038110476 scopus 로고    scopus 로고
    • Généricité de la classe des groupes dont les sous-groupes ayant moins de générateurs sont libres
    • [AO96] en russe
    • [AO96] G. ARZHANTSEVA & A.YU. OL'SHANSKIǏ - «Généricité de la classe des groupes dont les sous-groupes ayant moins de générateurs sont libres», Mat: Zametki 59 (1996), no. 4, p. 489-496, (en russe).
    • (1996) Mat: Zametki , vol.59 , Issue.4 , pp. 489-496
    • Arzhantseva, G.1    Ol'Shanskiǐ, A.Yu.2
  • 5
    • 0031285552 scopus 로고    scopus 로고
    • 2-cohomology and property (T) for automorphism groups of polyhedral cell complexes
    • [BS97]
    • 2- cohomology and property (T) for automorphism groups of polyhedral cell complexes», Geom. Funct. Anal. 7 (1997), no. 4, p. 615-645.
    • (1997) Geom. Funct. Anal. , vol.7 , Issue.4 , pp. 615-645
    • Ballmann, W.1    Swiatkowski, J.2
  • 7
    • 0003187956 scopus 로고
    • Cohomologie de certains groupes discrets et laplacien p-adique (d'après H. Garland)
    • [Bo75] Séminaire Bourbaki (1973/1974), Springer, Berlin, exp. no 437
    • [Bo75] A. BOREL - «Cohomologie de certains groupes discrets et laplacien p-adique (d'après H. Garland)», in Séminaire Bourbaki (1973/1974), Lect. Notes in Math., vol. 431, Springer, Berlin, 1975, exp. no 437, p. 12-35.
    • (1975) Lect. Notes in Math. , vol.431 , pp. 12-35
    • Borel, A.1
  • 10
    • 0038110473 scopus 로고
    • Cocroissance des groupes àpetite simplification
    • [Ch93] _
    • [Ch93] _, «Cocroissance des groupes àpetite simplification», Bull. London Math. Soc. 25 (1993), no. 5, p. 438-444.
    • (1993) Bull. London Math. Soc. , vol.25 , Issue.5 , pp. 438-444
  • 11
    • 0001171744 scopus 로고
    • Petite simplification dans les groupes hyperboliques
    • [Ch94] _
    • [Ch94] _, «Petite simplification dans les groupes hyperboliques», Ann. Fac. Sci. Toulouse Math. (6) 3 (1994), no. 2, p. 161-221.
    • (1994) Ann. Fac. Sci. Toulouse Math. (6) , vol.3 , Issue.2 , pp. 161-221
  • 12
    • 0442285439 scopus 로고
    • Propriétés statistiques des groupes de présentation finie
    • [Ch95] _
    • [Ch95] _, «Propriétés statistiques des groupes de présentation finie», Adv. Math. 116 (1995), no. 2, p. 197-262.
    • (1995) Adv. Math. , vol.116 , Issue.2 , pp. 197-262
  • 13
    • 0034216366 scopus 로고    scopus 로고
    • L'espace des groupes de type fini
    • [Ch00] _
    • [Ch00] _, «L'espace des groupes de type fini», Topology 39 (2000), no. 4, p. 657-680.
    • (2000) Topology , vol.39 , Issue.4 , pp. 657-680
  • 14
    • 0003622025 scopus 로고
    • The history of combinatorial group theory
    • [CM82] Springer-Verlag, New York, A case study in the history of ideas
    • [CM82] B. CHANDLER & W. MAGNUS - The history of combinatorial group theory, Studies in the History of Mathematics and Physical Sciences, vol. 9, Springer-Verlag, New York, 1982, A case study in the history of ideas.
    • (1982) Studies in the History of Mathematics and Physical Sciences , vol.9
    • Chandler, B.1    Magnus, W.2
  • 15
    • 0010093029 scopus 로고
    • Géométrie et théorie des groupes
    • [CDP90] Springer-Verlag, Berlin, Les groupes hyperboliques de Gromov
    • [CDP90] M. COORNAERT, T. DELZANT & A. PAPADOPOULOS - Géométrie et théorie des groupes, Lect. Notes in Math., vol. 1441, Springer-Verlag, Berlin, 1990, Les groupes hyperboliques de Gromov.
    • (1990) Lect. Notes in Math. , vol.1441
    • Coornaert, M.1    Delzant, T.2    Papadopoulos, A.3
  • 16
    • 0001478058 scopus 로고    scopus 로고
    • Sous-groupes distingués et quotients des groupes hyperboliques
    • [De96]
    • [De96] T. DELZANT - «Sous-groupes distingués et quotients des groupes hyperboliques», Duke Math. J. 83 (1996), no. 3, p. 661-682.
    • (1996) Duke Math. J. , vol.83 , Issue.3 , pp. 661-682
    • Delzant, T.1
  • 18
    • 0001537291 scopus 로고
    • P-adic curvature and the cohomology of discrete subgroups of p-adic groups
    • [Ga73]
    • [Ga73] H. GARLAND - «p-adic curvature and the cohomology of discrete subgroups of p-adic groups», Ann. of Math. (2) 97 (1973), p. 375-423.
    • (1973) Ann. of Math. (2) , vol.97 , pp. 375-423
    • Garland, H.1
  • 19
    • 18544368726 scopus 로고
    • Les groupes hyperboliques
    • [Gh90] Astérisque, Société Mathématique de France, Paris, exp. no 722
    • [Gh90] E. GHYS - «Les groupes hyperboliques», in Séminaire Bourbaki (1989/1990), Astérisque, vol. 189-190, Société Mathématique de France, Paris, 1990, exp. no 722, p. 203-238.
    • (1990) Séminaire Bourbaki (1989/1990) , vol.189-190 , pp. 203-238
    • Ghys, E.1
  • 20
    • 84859291899 scopus 로고
    • Sur les groupes hyperboliques, d'après M. Gromov
    • [GhH90] Birkhäuser, Boston
    • [GhH90] E. GHYS & P. DE LA HARPE - Sur les groupes hyperboliques, d'après M. Gromov, Progress in Math., vol. 83, Birkhäuser, Boston, 1990.
    • (1990) Progress in Math. , vol.83
    • Ghys, E.1    De La Harpe, P.2
  • 21
    • 84956137775 scopus 로고
    • Degrees of growth of finitely generated groups and the theory of invariant means
    • [Gri85]
    • [Gri85] R. GRIGORCHUK - «Degrees of growth of finitely generated groups and the theory of invariant means», Mathematics of the USSR Izvestiya 25 (1985), no. 2, p. 259-300.
    • (1985) Mathematics of the USSR Izvestiya , vol.25 , Issue.2 , pp. 259-300
    • Grigorchuk, R.1
  • 22
    • 0000155860 scopus 로고
    • Hyperbolic manifolds, groups and actions
    • [Gr81] Riemann surfaces and related topics : Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y. 1978), Princeton Univ. Press, Princeton, N.J
    • [Gr81] M. GROMOV - «Hyperbolic manifolds, groups and actions», in Riemann surfaces and related topics : Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y. 1978), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, Princeton, N.J., 1981, p. 183-213.
    • (1981) Ann. of Math. Stud. , vol.97 , pp. 183-213
    • Gromov, M.1
  • 24
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • [Gr87] _, Essays in group theory, New York
    • [Gr87] _, «Hyperbolic groups», in Essays in group theory, Math. Sci. Res. Inst. Publ., vol. 8, Springer, New York, 1987, p. 75-263.
    • (1987) Math. Sci. Res. Inst. Publ. , vol.8 , pp. 75-263
  • 25
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • [Gr93] _, Geometric group theory, Vol. 2 (Sussex 1991), Cambridge Univ. Press
    • [Gr93] _, «Asymptotic invariants of infinite groups», in Geometric group theory, Vol. 2 (Sussex 1991), London Math. Soc. Lecture Note Ser., vol. 182, Cambridge Univ. Press, 1993, p. 1-295.
    • (1993) London Math. Soc. Lecture Note Ser. , vol.182 , pp. 1-295
  • 26
    • 0037887804 scopus 로고    scopus 로고
    • CAT(κ)-spaces : Construction and concentration
    • [Gr01a] _, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)
    • [Gr01a] _, «CAT(κ)-spaces : construction and concentration», Geom. i Topol. 7 (2001), p. 100-140, 299-300, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) vol. 280.
    • (2001) Geom. I Topol. , vol.7 , pp. 100-140
  • 27
    • 0037549963 scopus 로고    scopus 로고
    • Mesoscopic curvature and hyperbolicity
    • [Gr01b] _, Global differential geometry : The mathematical legacy of Alfred Gray (Bilbao 2000), Amer. Math. Soc., Providence, RI
    • [Gr01b] _, «Mesoscopic curvature and hyperbolicity», in Global differential geometry : the mathematical legacy of Alfred Gray (Bilbao 2000), Contemp. Math., vol. 288, Amer. Math. Soc., Providence, RI, 2001, p. 58-69.
    • (2001) Contemp. Math. , vol.288 , pp. 58-69
  • 28
    • 0038563972 scopus 로고    scopus 로고
    • Small cancellation, unfolded hyperbolicity, and transversal measures
    • [Gr01c] _, Essays on geometry and related topics, Vol. 1, 2, Enseignement Math., Genève
    • [Gr01c] _, «Small cancellation, unfolded hyperbolicity, and transversal measures», in Essays on geometry and related topics, Vol. 1, 2, Monogr. Enseign. Math., vol. 38, Enseignement Math., Genève, 2001, p. 371-399.
    • (2001) Monogr. Enseign. Math. , vol.38 , pp. 371-399
  • 29
    • 0038237671 scopus 로고    scopus 로고
    • Random walk in random groups
    • [Gr03] _
    • [Gr03] _, «Random walk in random groups», Geom. Fund. Anal. 13 (2003), no. 1, p. 73-146.
    • (2003) Geom. Fund. Anal. , vol.13 , Issue.1 , pp. 73-146
  • 32
    • 0036435284 scopus 로고    scopus 로고
    • Counterexamples to the Baum-Connes conjecture
    • [HLS02]
    • [HLS02] N. HIGSON, V. LAFFORGUE & G. SKANDALIS - « Counterexamples to the Baum-Connes conjecture», Geom. Funct. Anal. 12 (2002), p. 330-354.
    • (2002) Geom. Funct. Anal. , vol.12 , pp. 330-354
    • Higson, N.1    Lafforgue, V.2    Skandalis, G.3
  • 33
    • 0034344473 scopus 로고    scopus 로고
    • Amenable group actions and the Novikov conjecture
    • [HR00]
    • [HR00] N. HIGSON & J. ROE - «Amenable group actions and the Novikov conjecture», J. reine Angew. Math. 519 (2000), p. 143-153.
    • (2000) J. Reine Angew. Math. , vol.519 , pp. 143-153
    • Higson, N.1    Roe, J.2
  • 34
    • 21344449486 scopus 로고    scopus 로고
    • Hyperbolic groups and their quotients of bounded exponents
    • [IO96]
    • [IO96] S. IVANOV & A.YU. OL'SHANSKIǏ - «Hyperbolic groups and their quotients of bounded exponents», Trans. Amer. Math. Soc. 348 (1996), no. 6, p. 2091-2138.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.6 , pp. 2091-2138
    • Ivanov, S.1    Ol'Shanskiǐ, A.Yu.2
  • 36
    • 33847574798 scopus 로고
    • Symmetric random walks on groups
    • [Ke59]
    • [Ke59] H. KESTEN - «Symmetric random walks on groups», Trans. Amer. Math. Soc. 92 (1959), p. 336-354.
    • (1959) Trans. Amer. Math. Soc. , vol.92 , pp. 336-354
    • Kesten, H.1
  • 37
    • 0001375397 scopus 로고
    • Discrete groups, expanding graphs and invariant measures
    • [Lu94] Birkhäuser Verlag, Basel, appendice de Jonathan D. Rogawski
    • [Lu94] A. LUBOTZKY - Discrete groups, expanding graphs and invariant measures, Progress in Math., vol. 125, Birkhäuser Verlag, Basel, 1994, appendice de Jonathan D. Rogawski.
    • (1994) Progress in Math. , vol.125
    • Lubotzky, A.1
  • 38
    • 0004169958 scopus 로고
    • [LS01] Classics in Mathematics, Springer-Verlag, 2001, nouveau tirage de l'édition de
    • [LS01] R.C. LYNDON & P.E. SCHUPP - Combinatorial group theory, Classics in Mathematics, Springer-Verlag, 2001, nouveau tirage de l'édition de 1977.
    • (1977) Combinatorial Group Theory
    • Lyndon, R.C.1    Schupp, P.E.2
  • 39
    • 84963021843 scopus 로고
    • Some remarks on infinité groups
    • [Ne37]
    • [Ne37] B.H. NEUMANN - «Some remarks on infinité groups», J. London Mat. Soc. 12 (1937), p. 120-127.
    • (1937) J. London Mat. Soc. , vol.12 , pp. 120-127
    • Neumann, B.H.1
  • 40
    • 84859271811 scopus 로고    scopus 로고
    • Sharp phase transition theorems for hyperbolicity of random groups
    • [Oll03a] àparaître, prépublication, ArXiv:math.GR/0301187
    • [Oll03a] Y. OLLIVIER - «Sharp phase transition theorems for hyperbolicity of random groups», Geom. Funct. Anal. (2003), àparaître, prépublication, ArXiv:math.GR/0301187.
    • (2003) Geom. Funct. Anal.
    • Ollivier, Y.1
  • 42
    • 0038172425 scopus 로고    scopus 로고
    • Critical densities for random quotients of hyperbolic groups
    • [Oll03c] _
    • [Oll03c] _, «Critical densities for random quotients of hyperbolic groups», C. R. Acad. Sci. Paris Sér. I Math. 336 (2003), no. 5, p. 391-394.
    • (2003) C. R. Acad. Sci. Paris Sér. i Math. , vol.336 , Issue.5 , pp. 391-394
  • 43
    • 0001778763 scopus 로고
    • Almost every group is hyperbolic
    • [Ols92a]
    • [Ols92a] A.YU. OL'SHANSKIǏ - «Almost every group is hyperbolic», Internat. J. Algebra Comput. 2 (1992), no. 1, p. 1-17.
    • (1992) Internat. J. Algebra Comput. , vol.2 , Issue.1 , pp. 1-17
    • Ol'Shanskiǐ, A.Yu.1
  • 44
    • 0001057670 scopus 로고
    • Periodic factor groups of hyperbolic groups
    • [Ols92b] _
    • [Ols92b] _, «Periodic factor groups of hyperbolic groups», Mathematics of the USSR Sbornik 72 (1992), p. 519-541.
    • (1992) Mathematics of the USSR Sbornik , vol.72 , pp. 519-541
  • 45
    • 0001682939 scopus 로고    scopus 로고
    • Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles
    • [Pa98]
    • [Pa98] P. PANSU - «Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles», Bull. Soc. Math. France 126 (1998), no. 1, p. 107-139.
    • (1998) Bull. Soc. Math. France , vol.126 , Issue.1 , pp. 107-139
    • Pansu, P.1
  • 46
    • 0009949324 scopus 로고    scopus 로고
    • An algorithm detecting hyperbolicity
    • [Pa96] Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ 1994), Amer. Math. Soc., Providence, RI
    • [Pa96] P. PAPASOGLU - «An algorithm detecting hyperbolicity», in Geometric and computational perspectives on infinite groups (Minneapolis, MN and New Brunswick, NJ 1994), DIMACS Ser. Discrète Math. Theoret. Comput. Sci., vol. 25, Amer. Math. Soc., Providence, RI, 1996, p. 193-200.
    • (1996) DIMACS Ser. Discrète Math. Theoret. Comput. Sci. , vol.25 , pp. 193-200
    • Papasoglu, P.1
  • 47
    • 51249165270 scopus 로고
    • Uniform embeddings of hyperbolic groups in Hubert spaces
    • [Se92]
    • [Se92] Z. SELA - «Uniform embeddings of hyperbolic groups in Hubert spaces», Israel J. Math. 80 (1992), no. 1-2, p. 171-181.
    • (1992) Israel J. Math. , vol.80 , Issue.1-2 , pp. 171-181
    • Sela, Z.1
  • 48
    • 0038576441 scopus 로고    scopus 로고
    • Addendum to : "Random walk in random groups" [Geom. Funct. Anal. 13 (2003), no. 1, 73-140; MR1978492] by M. Gromov
    • [Si03]
    • [Si03] L. SILBERMAN - «Addendum to : "Random walk in random groups" [Geom. Funct. Anal. 13 (2003), no. 1, 73-140; MR1978492] by M. Gromov», Geom. Funct. Anal. 13 (2003), no. 1, p. 147-177.
    • (2003) Geom. Funct. Anal. , vol.13 , Issue.1 , pp. 147-177
    • Silberman, L.1
  • 49
    • 0013000696 scopus 로고    scopus 로고
    • Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue
    • [Sk00] Astérisque, Société Mathématique de France, Paris, exp. no 829
    • [Sk00] G. SKANDALIS - «Progrès récents sur la conjecture de Baum-Connes. Contribution de Vincent Lafforgue», in Séminaire Bourbaki (1999/2000), Astérisque, vol. 276, Société Mathématique de France, Paris, 2002, exp. no 829, p. 105-135.
    • (2002) Séminaire Bourbaki (1999/2000) , vol.276 , pp. 105-135
    • Skandalis, G.1
  • 50
    • 0001183681 scopus 로고
    • Stabilizers for ergodic actions of higher rank semisimple groups
    • [SZ94]
    • [SZ94] G. STUCK & R. J. ZIMMER - «Stabilizers for ergodic actions of higher rank semisimple groups», Annals Math. 139 (1994), p. 723-747.
    • (1994) Annals Math. , vol.139 , pp. 723-747
    • Stuck, G.1    Zimmer, R.J.2
  • 51
    • 0033163955 scopus 로고    scopus 로고
    • On the complexity of the isomorphism relation for finitely generated groups
    • [TV99]
    • [TV99] S. THOMAS & B. VELICKOVIC - «On the complexity of the isomorphism relation for finitely generated groups», J. Algebra 217 (1999), no. 1, p. 352-373.
    • (1999) J. Algebra , vol.217 , Issue.1 , pp. 352-373
    • Thomas, S.1    Velickovic, B.2
  • 52
    • 84859292167 scopus 로고    scopus 로고
    • Nouvelles approches de la propriété (T) de Kazhdan
    • [Va02] exp. no 913, ce volume
    • [Va02] A. VALETTE - «Nouvelles approches de la proprié té (T) de Kazhdan», in Séminaire Bourbaki (2002/2003), exp. no 913, ce volume.
    • Séminaire Bourbaki (2002/2003)
    • Valette, A.1
  • 53
    • 0034340695 scopus 로고    scopus 로고
    • The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hubert space
    • [Yu00]
    • [Yu00] G. Yu - «The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hubert space», Invent. Math. 139 (2000), no. 1, p. 201-240.
    • (2000) Invent. Math. , vol.139 , Issue.1 , pp. 201-240
    • Yu, G.1
  • 54
    • 0000850071 scopus 로고    scopus 로고
    • La propriété (T) de Kazhdan pour les groupes agissant sur les polyèdres
    • [Zuk96]
    • [Zuk96] A. ZUK - «La propriété (T) de Kazhdan pour les groupes agissant sur les polyèdres», C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 5, p. 453-458.
    • (1996) C. R. Acad. Sci. Paris Sér. I Math. , vol.323 , Issue.5 , pp. 453-458
    • Zuk, A.1
  • 55
    • 0042853323 scopus 로고    scopus 로고
    • Property (T) and Kazhdan constants for discrete groups
    • [Zuk03] _
    • [Zuk03] _, «Property (T) and Kazhdan constants for discrete groups», Geom. Funct. Anal. 13 (2003), no. 3, p. 643-670.
    • (2003) Geom. Funct. Anal. , vol.13 , Issue.3 , pp. 643-670


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