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Volumn 11, Issue , 2007, Pages 995-1048

Quasi-isometric rigidity of higher rank S -arithmetic lattices

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EID: 59149088444     PISSN: 13640380     EISSN: 13640380     Source Type: Journal    
DOI: 10.2140/gt.2007.11.995     Document Type: Article
Times cited : (8)

References (33)
  • 1
    • 51249175384 scopus 로고
    • Finiteness properties of certain arithmetic groups in the function field case
    • MR1177335
    • H Abels, Finiteness properties of certain arithmetic groups in the function field case, Israel J. Math. 76 (1991) 113-128 MR1177335
    • (1991) Israel J. Math , vol.76 , pp. 113-128
    • Abels, H.1
  • 3
    • 59149104539 scopus 로고    scopus 로고
    • q[t]) is not finitely presentable, from: Homological group theory (Proc. Sympos., Durham, 1977), London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press, Cambridge (1979) 213-224 MR564424
    • q[t]) is not finitely presentable, from: "Homological group theory (Proc. Sympos., Durham, 1977)", London Math. Soc. Lecture Note Ser. 36, Cambridge Univ. Press, Cambridge (1979) 213-224 MR564424
  • 4
    • 59149092316 scopus 로고    scopus 로고
    • F Blume, Ergodic theory, from: Handbook of measure theory, II, North-Holland, Amsterdam (2002) 1185-1235 MR1954639
    • F Blume, Ergodic theory, from: "Handbook of measure theory, Vol. II", North-Holland, Amsterdam (2002) 1185-1235 MR1954639
  • 5
    • 0002330412 scopus 로고
    • Density and maximality of arithmetic subgroups
    • MR0205999
    • A Borel, Density and maximality of arithmetic subgroups, J. Reine Angew. Math. 224 (1966)78-89 MR0205999
    • (1966) J. Reine Angew. Math , vol.224 , pp. 78-89
    • Borel, A.1
  • 6
    • 59149107036 scopus 로고    scopus 로고
    • A Borel, Linear algebraic groups, second edition, Graduate Texts in Mathematics 126, Springer, New York (1991) MR1102012
    • A Borel, Linear algebraic groups, second edition, Graduate Texts in Mathematics 126, Springer, New York (1991) MR1102012
  • 7
    • 84972554333 scopus 로고
    • Rationality properties of linear algebraic groups. II
    • MR0244259
    • A Borel, T A Springer, Rationality properties of linear algebraic groups. II, Tôhoku Math. J. (2) 20 (1968) 443-197 MR0244259
    • (1968) Tôhoku Math. J. (2) , vol.20 , pp. 443-197
    • Borel, A.1    Springer, T.A.2
  • 8
    • 0000198710 scopus 로고
    • Homomorphismes "abstraits " de groupes algébriques simples
    • MR0316587
    • A Borel, J Tits, Homomorphismes "abstraits " de groupes algébriques simples, Ann. of Math. (2) 97 (1973) 499-571 MR0316587
    • (1973) Ann. of Math. (2) , vol.97 , pp. 499-571
    • Borel, A.1    Tits, J.2
  • 9
    • 59149083346 scopus 로고    scopus 로고
    • MR Bridson, A Haefliger, Metric spaces of non-positive curvature, 319 of Grundlehren der Mathematischen Wissenschaften, Springer, Berlin (1999) MR1744486
    • MR Bridson, A Haefliger, Metric spaces of non-positive curvature, volume 319 of Grundlehren der Mathematischen Wissenschaften, Springer, Berlin (1999) MR1744486
  • 10
    • 59149104595 scopus 로고    scopus 로고
    • KS Brown, Buildings, Springer, New York (1989) MR969123
    • KS Brown, Buildings, Springer, New York (1989) MR969123
  • 11
    • 0034415966 scopus 로고    scopus 로고
    • Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank
    • MR1771426
    • C Drufu, Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank, Geom. Funct. Anal. 10 (2000) 327-388 MR1771426
    • (2000) Geom. Funct. Anal , vol.10 , pp. 327-388
    • Drufu, C.1
  • 12
    • 0032386558 scopus 로고    scopus 로고
    • Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
    • MR1475886
    • A Eskin, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, J. Amer. Math. Soc. 11 (1998) 321-361 MR1475886
    • (1998) J. Amer. Math. Soc , vol.11 , pp. 321-361
    • Eskin, A.1
  • 13
    • 0031486926 scopus 로고    scopus 로고
    • Quasi-flats and rigidity in higher rank symmetric spaces
    • MR1434399
    • A Eskin, B Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997) 653-692 MR1434399
    • (1997) J. Amer. Math. Soc , vol.10 , pp. 653-692
    • Eskin, A.1    Farb, B.2
  • 14
    • 0031283607 scopus 로고    scopus 로고
    • The quasi-isometry classification of lattices in semisimple Lie groups
    • MR1484701
    • B Farb, The quasi-isometry classification of lattices in semisimple Lie groups, Math. Res. Lett. 4 (1997) 705-717 MR1484701
    • (1997) Math. Res. Lett , vol.4 , pp. 705-717
    • Farb, B.1
  • 15
    • 0030266298 scopus 로고    scopus 로고
    • The large-scale geometry of Hilbert modular groups
    • MR1431001
    • B Farb, R Schwartz, The large-scale geometry of Hilbert modular groups, J. Differential Geom. 44 (1996) 435-478 MR1431001
    • (1996) J. Differential Geom , vol.44 , pp. 435-478
    • Farb, B.1    Schwartz, R.2
  • 16
    • 84941427752 scopus 로고
    • Über die Galoiskohomologie halbeinfacher algebraischer Gruppen III
    • MR0382469
    • G Harder, Über die Galoiskohomologie halbeinfacher algebraischer Gruppen III, J. Reine Angew. Math. 274/275 (1975) 125-138 MR0382469
    • (1975) J. Reine Angew. Math , vol.274-275 , pp. 125-138
    • Harder, G.1
  • 17
    • 0000947931 scopus 로고    scopus 로고
    • Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
    • MR1608566
    • B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Etudes Sci. Publ. Math. 86 (1997) 115-197 MR1608566
    • (1997) Inst. Hautes Etudes Sci. Publ. Math , vol.86 , pp. 115-197
    • Kleiner, B.1    Leeb, B.2
  • 19
    • 59149090604 scopus 로고    scopus 로고
    • G A Margulis, Discrete subgroups of semisimple Lie groups, 17 of Ergebnisseder Mathematik und ihrer Grenzgebiete (3), Springer, Berlin (1991) MR1090825
    • G A Margulis, Discrete subgroups of semisimple Lie groups, volume 17 of Ergebnisseder Mathematik und ihrer Grenzgebiete (3), Springer, Berlin (1991) MR1090825
  • 20
    • 59149083053 scopus 로고    scopus 로고
    • GD Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies 78, Princeton University Press, Princeton, N.J. (1973) MR0385004
    • GD Mostow, Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies 78, Princeton University Press, Princeton, N.J. (1973) MR0385004
  • 21
    • 59149101603 scopus 로고    scopus 로고
    • V Platonov, A Rapinchuk, Algebraic groups and number theory, Pure and Applied Mathematics 139, Academic Press, Boston (1994) MR1278263
    • V Platonov, A Rapinchuk, Algebraic groups and number theory, Pure and Applied Mathematics 139, Academic Press, Boston (1994) MR1278263
  • 22
    • 0001743192 scopus 로고
    • Strong rigidity of ℚ-rank 1 lattices
    • MR0385005
    • G Prasad, Strong rigidity of ℚ-rank 1 lattices, Invent. Math. 21 (1973) 255-286 MR0385005
    • (1973) Invent. Math , vol.21 , pp. 255-286
    • Prasad, G.1
  • 23
    • 0001169077 scopus 로고
    • Strong approximation for semi-simple groups over function fields
    • MR0444571
    • G Prasad, Strong approximation for semi-simple groups over function fields, Ann. of Math. (2) 105 (1977) 553-572 MR0444571
    • (1977) Ann. of Math. (2) , vol.105 , pp. 553-572
    • Prasad, G.1
  • 24
    • 59149091727 scopus 로고    scopus 로고
    • G Prasad, Lattices in semisimple groups over local fields, from: Studies in algebra and number theory, Adv. in Math. Suppl. Stud. 6, Academic Press, New York (1979) 285-356 MR535769
    • G Prasad, Lattices in semisimple groups over local fields, from: "Studies in algebra and number theory", Adv. in Math. Suppl. Stud. 6, Academic Press, New York (1979) 285-356 MR535769
  • 25
    • 59149097130 scopus 로고    scopus 로고
    • M Ratner, On the p-adic and S-arithmetic generalizations of Raghunathan's conjectures, from: Lie groups and ergodic theory (Mumbai, 1996), Tata Inst. Fund. Res. Stud. Math. 14, Tata Inst. Fund. Res., Bombay (1998) 167-202 MR1699365
    • M Ratner, On the p-adic and S-arithmetic generalizations of Raghunathan's conjectures, from: "Lie groups and ergodic theory (Mumbai, 1996)", Tata Inst. Fund. Res. Stud. Math. 14, Tata Inst. Fund. Res., Bombay (1998) 167-202 MR1699365
  • 26
    • 51649146590 scopus 로고    scopus 로고
    • R E Schwartz, The quasi-isometry classification of rank one lattices, Inst. Hautes Études Sci. Publ. Math. 82 (1995) 133-168 (1996) MR1383215
    • R E Schwartz, The quasi-isometry classification of rank one lattices, Inst. Hautes Études Sci. Publ. Math. 82 (1995) 133-168 (1996) MR1383215
  • 27
    • 0003174205 scopus 로고    scopus 로고
    • Quasi-isometric rigidity and Diophantine approximation
    • MR1417087
    • RE Schwartz, Quasi-isometric rigidity and Diophantine approximation, Acta Math. 177 (1996) 75-112 MR1417087
    • (1996) Acta Math , vol.177 , pp. 75-112
    • Schwartz, R.E.1
  • 28
    • 0034134693 scopus 로고    scopus 로고
    • 2(ℤ[l/p])
    • MR1738174
    • 2(ℤ[l/p]), Duke Math. J. 101 (2000) 335- 357 MR1738174
    • (2000) Duke Math. J , vol.101 , pp. 335-357
    • Taback, J.1
  • 29
    • 0001736939 scopus 로고
    • Algebraic and abstract simple groups
    • MR0164968
    • J Tits, Algebraic and abstract simple groups, Ann. of Math. (2) 80 (1964) 313-329 MR0164968
    • (1964) Ann. of Math. (2) , vol.80 , pp. 313-329
    • Tits, J.1
  • 30
    • 59149083184 scopus 로고    scopus 로고
    • J Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics 386, Springer, Berlin (1974) MR0470099
    • J Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics 386, Springer, Berlin (1974) MR0470099
  • 31
    • 0001360529 scopus 로고    scopus 로고
    • TN Venkataramana, On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic, Invent. Math. 92 (1988) 255-306 MR936083
    • TN Venkataramana, On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic, Invent. Math. 92 (1988) 255-306 MR936083
  • 32
    • 59149084982 scopus 로고    scopus 로고
    • Quasifiats with holes in reductive groups
    • MR2199455
    • K Wortman, Quasifiats with holes in reductive groups, Algebr. Geom. Topol. 6 (2006) 91-117 MR2199455
    • (2006) Algebr. Geom. Topol , vol.6 , pp. 91-117
    • Wortman, K.1


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