메뉴 건너뛰기




Volumn 145, Issue 1, 2001, Pages 19-36

The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035624360     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220100138     Document Type: Article
Times cited : (58)

References (15)
  • 1
    • 0000507293 scopus 로고
    • Artin groups and infinite Coxeter groups
    • K.I. Appel, P.E. Schupp, Artin groups and infinite Coxeter groups, Invent. math. 72 (1983), 201-220
    • (1983) Invent. Math. , vol.72 , pp. 201-220
    • Appel, K.I.1    Schupp, P.E.2
  • 2
    • 0002530794 scopus 로고
    • Mapping class groups of surfaces
    • Braids, AMS-IMS-SIAM Joint Summer Res. Conf., Santa Cruz/Calif., 1986
    • J. Birman, Mapping class groups of surfaces, in: Braids, AMS-IMS-SIAM Joint Summer Res. Conf., Santa Cruz/Calif., 1986, Contemp. Math. 78, 1988, pp. 13-43
    • (1988) Contemp. Math. , vol.78 , pp. 13-43
    • Birman, J.1
  • 3
    • 0004019457 scopus 로고
    • Springer-Verlag, New-York
    • K.S. Brown, Buildings, Springer-Verlag, New-York, 1989
    • (1989) Buildings
    • Brown, K.S.1
  • 4
    • 0001081986 scopus 로고
    • Artin-Gruppen und Coxeter-Gruppen
    • E. Brieskorn, K. Saito, Artin-Gruppen und Coxeter-Gruppen, Invent. math. 17 (1972), 245-271
    • (1972) Invent. Math. , vol.17 , pp. 245-271
    • Brieskorn, E.1    Saito, K.2
  • 5
    • 0034552875 scopus 로고    scopus 로고
    • The Tits conjecture for locally reducible Artin groups
    • R. Charney, The Tits conjecture for locally reducible Artin groups, Int. J. Algebra Comput. 10, No. 6 (2000), 783-797
    • (2000) Int. J. Algebra Comput. , vol.10 , Issue.6 , pp. 783-797
    • Charney, R.1
  • 6
    • 0002164024 scopus 로고
    • Relations among the squares of the generators of the braid group
    • D.J. Collins, Relations among the squares of the generators of the braid group, Invent. math. 117 (1994), 525-529
    • (1994) Invent. Math. , vol.117 , pp. 525-529
    • Collins, D.J.1
  • 7
    • 0002253014 scopus 로고    scopus 로고
    • Injective maps between Artin groups
    • Geometric Group Theory Down Under, Canberra, Australia, 1996, ed. J. Cossey, et al., W. de Gruyter, Berlin
    • J. Crisp, Injective maps between Artin groups, in: Geometric Group Theory Down Under, Proceedings of a Special Year in Geometric Group Theory, Canberra, Australia, 1996, ed. J. Cossey, et al., W. de Gruyter, Berlin, 1999
    • (1999) Proceedings of a Special Year in Geometric Group Theory
    • Crisp, J.1
  • 8
    • 0345860278 scopus 로고
    • The Tits conjecture and the five string braid group
    • Topology and Combinatorial Group Theory, ed. P. Latiolois, Springer-Verlag
    • C. Droms, J. Lewin, H. Servatius, The Tits conjecture and the five string braid group, in: Topology and Combinatorial Group Theory, ed. P. Latiolois, LNM 1440, Springer-Verlag, 1990, pp. 48-51
    • (1990) LNM , vol.1440 , pp. 48-51
    • Droms, C.1    Lewin, J.2    Servatius, H.3
  • 9
    • 0039349071 scopus 로고
    • The braid group and other groups
    • F.A. Garside, The braid group and other groups, Quart. J. Math. Oxford (2), 20 (1969), 235-254
    • (1969) Quart. J. Math. Oxford (2) , vol.20 , pp. 235-254
    • Garside, F.A.1
  • 11
    • 0001010744 scopus 로고
    • Algorithms and geometry for graph products of groups
    • S. Hermiller, J. Meier, Algorithms and geometry for graph products of groups, J. Algebra 171 (1995) 230-257
    • (1995) J. Algebra , vol.171 , pp. 230-257
    • Hermiller, S.1    Meier, J.2
  • 12
    • 0000031043 scopus 로고    scopus 로고
    • On linear and residual properties of graph products
    • T. Hsu, D.T. Wise, On linear and residual properties of graph products, Michigan Math. J. 46 (1999), 251-259
    • (1999) Michigan Math. J. , vol.46 , pp. 251-259
    • Hsu, T.1    Wise, D.T.2
  • 13
    • 0013199087 scopus 로고
    • On representations of Artin groups and the Tits conjecture
    • S.P. Humphries, On representations of Artin groups and the Tits conjecture, J. Algebra 169 (1994) No. 3, 847-862
    • (1994) J. Algebra , vol.169 , Issue.3 , pp. 847-862
    • Humphries, S.P.1
  • 14
    • 0001475546 scopus 로고
    • On Tits' conjecture and other questions concerning Artin and generalised Artin groups
    • S.J. Pride, On Tits' conjecture and other questions concerning Artin and generalised Artin groups, Invent. math. 86 (1986), 347-356
    • (1986) Invent. Math. , vol.86 , pp. 347-356
    • Pride, S.J.1
  • 15
    • 0002862611 scopus 로고
    • Normalisateurs de Tores I. Groupes de Coxeter étendus
    • J. Tits, Normalisateurs de Tores I. Groupes de Coxeter étendus, J. Algebra 4 (1966), 96-116
    • (1966) J. Algebra , vol.4 , pp. 96-116
    • Tits, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.