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Volumn 224, Issue 5, 2010, Pages 1890-1903

Coxeter groups are virtually special

Author keywords

Artin group; CAT(0) cube complexes; Coxeter group; Subgroup separability

Indexed keywords


EID: 77952959019     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2010.01.011     Document Type: Article
Times cited : (95)

References (24)
  • 1
    • 0035532962 scopus 로고    scopus 로고
    • The Bianchi groups are separable on geometrically finite subgroups
    • Agol I., Long D.D., Reid A.W. The Bianchi groups are separable on geometrically finite subgroups. Ann. of Math. (2) 2001, 153(3):599-621.
    • (2001) Ann. of Math. (2) , vol.153 , Issue.3 , pp. 599-621
    • Agol, I.1    Long, D.D.2    Reid, A.W.3
  • 2
    • 35348971384 scopus 로고    scopus 로고
    • Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls
    • (electronic)
    • Caprace Pierre-Emmanuel Conjugacy of 2-spherical subgroups of Coxeter groups and parallel walls. Algebr. Geom. Topol. 2006, 6:1987-2029. (electronic).
    • (2006) Algebr. Geom. Topol. , vol.6 , pp. 1987-2029
    • Caprace, P.-E.1
  • 3
    • 0001282822 scopus 로고
    • Finite K(π,1)s for Artin groups
    • Princeton Univ. Press, Princeton, NJ, Prospects in Topology
    • Charney Ruth, Davis Michael W. Finite K(π,1)s for Artin groups. Ann. of Math. Stud. 1995, vol. 138:110-124. Princeton Univ. Press, Princeton, NJ.
    • (1995) Ann. of Math. Stud. , vol.138 , pp. 110-124
    • Charney, R.1    Davis, M.W.2
  • 4
    • 30344461865 scopus 로고    scopus 로고
    • From wall spaces to CAT(0) cube complexes
    • Chatterji Indira, Niblo Graham From wall spaces to CAT(0) cube complexes. Internat. J. Algebra Comput. 2005, 15(5-6):875-885.
    • (2005) Internat. J. Algebra Comput. , vol.15 , Issue.5-6 , pp. 875-885
    • Chatterji, I.1    Niblo, G.2
  • 5
    • 0001438960 scopus 로고
    • Groups generated by reflections and aspherical manifolds not covered by euclidean space
    • Davis Michael W. Groups generated by reflections and aspherical manifolds not covered by euclidean space. Ann. of Math. (2) 1983, 117(2):293-324.
    • (1983) Ann. of Math. (2) , vol.117 , Issue.2 , pp. 293-324
    • Davis, M.W.1
  • 6
    • 0034634140 scopus 로고    scopus 로고
    • Right-angled Artin groups are commensurable with right-angled Coxeter groups
    • Davis Michael W., Januszkiewicz Tadeusz Right-angled Artin groups are commensurable with right-angled Coxeter groups. J. Pure Appl. Algebra 2000, 153(3):229-235.
    • (2000) J. Pure Appl. Algebra , vol.153 , Issue.3 , pp. 229-235
    • Davis, M.W.1    Januszkiewicz, T.2
  • 7
    • 0038292517 scopus 로고    scopus 로고
    • Semi-splittings of groups and actions on cubings
    • Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 190 (in Russian)
    • Gerasimov V.N. Semi-splittings of groups and actions on cubings. Algebra, Geometry, Analysis and Mathematical Physics 1997, 91-109. Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 190 (in Russian).
    • (1997) Algebra, Geometry, Analysis and Mathematical Physics , pp. 91-109
    • Gerasimov, V.N.1
  • 8
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Springer, New York, Essays in Group Theory
    • Gromov M. Hyperbolic groups. Math. Sci. Res. Inst. Publ. 1987, vol. 8:75-263. Springer, New York.
    • (1987) Math. Sci. Res. Inst. Publ. , vol.8 , pp. 75-263
    • Gromov, M.1
  • 9
    • 45849099446 scopus 로고    scopus 로고
    • Haglund Frédéric Finite index subgroups of graph products
    • Haglund Frédéric Finite index subgroups of graph products. Geom. Dedicata 2008, 135:167-209.
    • (2008) Geom. Dedicata , vol.135 , pp. 167-209
  • 10
    • 77952951347 scopus 로고    scopus 로고
    • Frédéric Haglund, Frédéric Paulin, Simplicité de groupes d'automorphismes d'espaces à courbure négative, in: The Epstein Birthday Schrift, Geom. Topol., Coventry, (electronic)
    • Frédéric Haglund, Frédéric Paulin, Simplicité de groupes d'automorphismes d'espaces à courbure négative, in: The Epstein Birthday Schrift, Geom. Topol., Coventry, 1998, pp. 181-248 (electronic).
    • (1998) , pp. 181-248
  • 12
    • 77952956957 scopus 로고    scopus 로고
    • Chris Hruska, Daniel T. Wise, Finiteness properties of cubulated groups, in preparation
    • Chris Hruska, Daniel T. Wise, Finiteness properties of cubulated groups, in preparation.
  • 13
    • 47949101599 scopus 로고    scopus 로고
    • Artin HNN-extensions virtually embed in Artin groups
    • Hsu T., Leary I.J. Artin HNN-extensions virtually embed in Artin groups. Bull. Lond. Math. Soc. 2008, 40(4):715-719.
    • (2008) Bull. Lond. Math. Soc. , vol.40 , Issue.4 , pp. 715-719
    • Hsu, T.1    Leary, I.J.2
  • 14
    • 77952951588 scopus 로고    scopus 로고
    • Tim Hsu, Daniel T. Wise, Cubulating graphs of free groups with cyclic edge groups, American Journal of Mathematics, in press
    • Tim Hsu, Daniel T. Wise, Cubulating graphs of free groups with cyclic edge groups, American Journal of Mathematics, in press.
  • 15
    • 0000031043 scopus 로고    scopus 로고
    • On linear and residual properties of graph products
    • Hsu Tim, Wise Daniel T. On linear and residual properties of graph products. Michigan Math. J. 1999, 46(2):251-259.
    • (1999) Michigan Math. J. , vol.46 , Issue.2 , pp. 251-259
    • Hsu, T.1    Wise, D.T.2
  • 16
    • 0013199087 scopus 로고
    • On representations of Artin groups and the Tits conjecture
    • Humphries S.P. On representations of Artin groups and the Tits conjecture. J. Algebra 1994, 169:847-862.
    • (1994) J. Algebra , vol.169 , pp. 847-862
    • Humphries, S.P.1
  • 17
    • 77952956147 scopus 로고
    • Gábor Moussong, Hyperbolic coxeter groups, PhD thesis, Ohio State University.
    • Gábor Moussong, Hyperbolic coxeter groups, PhD thesis, Ohio State University, 1988.
    • (1988)
  • 18
    • 0037745573 scopus 로고    scopus 로고
    • Coxeter groups act on CAT(0) cube complexes
    • Niblo G.A., Reeves L.D. Coxeter groups act on CAT(0) cube complexes. J. Group Theory 2003, 6(3):399-413.
    • (2003) J. Group Theory , vol.6 , Issue.3 , pp. 399-413
    • Niblo, G.A.1    Reeves, L.D.2
  • 19
    • 10844252476 scopus 로고    scopus 로고
    • Cubulating spaces with walls
    • (electronic)
    • Nica Bogdan Cubulating spaces with walls. Algebr. Geom. Topol. 2004, 4:297-309. (electronic).
    • (2004) Algebr. Geom. Topol. , vol.4 , pp. 297-309
    • Nica, B.1
  • 20
    • 0002291626 scopus 로고
    • On the profinite topology on a free group
    • Ribes Luis, Zalesskii Pavel A. On the profinite topology on a free group. Bull. London Math. Soc. 1993, 25(1):37-43.
    • (1993) Bull. London Math. Soc. , vol.25 , Issue.1 , pp. 37-43
    • Ribes, L.1    Zalesskii, P.A.2
  • 21
    • 0000376117 scopus 로고
    • Ends of group pairs and non-positively curved cube complexes
    • Sageev Michah Ends of group pairs and non-positively curved cube complexes. Proc. London Math. Soc. (3) 1995, 71(3):585-617.
    • (1995) Proc. London Math. Soc. (3) , vol.71 , Issue.3 , pp. 585-617
    • Sageev, M.1
  • 22
    • 84959755345 scopus 로고
    • Subgroups of surface groups are almost geometric
    • Scott Peter Subgroups of surface groups are almost geometric. J. London Math. Soc. (2) 1978, 17(3):555-565.
    • (1978) J. London Math. Soc. (2) , vol.17 , Issue.3 , pp. 555-565
    • Scott, P.1
  • 23
    • 77952952793 scopus 로고    scopus 로고
    • B.T. Williams, Two topics in geometric group theory, PhD thesis, University of Southampton.
    • B.T. Williams, Two topics in geometric group theory, PhD thesis, University of Southampton, 1999.
    • (1999)
  • 24
    • 2442613976 scopus 로고    scopus 로고
    • Cubulating small cancellation groups
    • Wise Daniel T. Cubulating small cancellation groups. GAFA, Geom. Funct. Anal. 2004, 14(1):150-214.
    • (2004) GAFA, Geom. Funct. Anal. , vol.14 , Issue.1 , pp. 150-214
    • Wise, D.T.1


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