메뉴 건너뛰기




Volumn 303, Issue 1, 2006, Pages 275-294

Braid groups and the co-Hopfian property

Author keywords

Braid groups; Co Hopfian; Mapping class groups

Indexed keywords


EID: 33746660361     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2005.10.038     Document Type: Article
Times cited : (46)

References (28)
  • 1
    • 33746614308 scopus 로고    scopus 로고
    • J. Behrstock, D. Margalit, Curve complexes and finite index subgroups of mapping class groups, Geom. Dedicata, in press
  • 3
    • 0035578590 scopus 로고    scopus 로고
    • Braid groups are linear
    • Bigelow S.J. Braid groups are linear. J. Amer. Math. Soc. 14 2 (2001) 471-486
    • (2001) J. Amer. Math. Soc. , vol.14 , Issue.2 , pp. 471-486
    • Bigelow, S.J.1
  • 4
    • 0003316111 scopus 로고
    • Braids, Links, and Mapping Class Groups
    • Princeton Univ. Press, Princeton, NJ
    • Birman J.S. Braids, Links, and Mapping Class Groups. Ann. of Math. Stud. vol. 82 (1974), Princeton Univ. Press, Princeton, NJ
    • (1974) Ann. of Math. Stud. , vol.82
    • Birman, J.S.1
  • 5
    • 0002467191 scopus 로고
    • On the mapping class groups of closed surfaces as covering spaces
    • Advances in the Theory of Riemann Surfaces, Proc. Conf. Stony Brook, NY, 1969, Princeton Univ. Press, Princeton, NJ
    • Birman J.S., and Hilden H.M. On the mapping class groups of closed surfaces as covering spaces. Advances in the Theory of Riemann Surfaces, Proc. Conf. Stony Brook, NY, 1969. Ann. of Math. Stud. vol. 66 (1971), Princeton Univ. Press, Princeton, NJ 81-115
    • (1971) Ann. of Math. Stud. , vol.66 , pp. 81-115
    • Birman, J.S.1    Hilden, H.M.2
  • 6
    • 0041658345 scopus 로고
    • Lifting and projecting homeomorphisms
    • Birman J.S., and Hilden H.M. Lifting and projecting homeomorphisms. Arch. Math. (Basel) 23 (1972) 428-434
    • (1972) Arch. Math. (Basel) , vol.23 , pp. 428-434
    • Birman, J.S.1    Hilden, H.M.2
  • 7
    • 0001465940 scopus 로고
    • On isotopies of homeomorphisms of Riemann surfaces
    • Birman J.S., and Hilden H.M. On isotopies of homeomorphisms of Riemann surfaces. Ann. of Math. (2) 97 (1973) 424-439
    • (1973) Ann. of Math. (2) , vol.97 , pp. 424-439
    • Birman, J.S.1    Hilden, H.M.2
  • 8
    • 84972562943 scopus 로고
    • Abelian and solvable subgroups of the mapping class groups
    • Birman J.S., Lubotzky A., and McCarthy J. Abelian and solvable subgroups of the mapping class groups. Duke Math. J. 50 4 (1983) 1107-1120
    • (1983) Duke Math. J. , vol.50 , Issue.4 , pp. 1107-1120
    • Birman, J.S.1    Lubotzky, A.2    McCarthy, J.3
  • 9
    • 0007510283 scopus 로고
    • Über die periodischen Transformationen der Kugel
    • Brouwer L.E.J. Über die periodischen Transformationen der Kugel. Math. Ann. 80 (1919) 39-41
    • (1919) Math. Ann. , vol.80 , pp. 39-41
    • Brouwer, L.E.J.1
  • 10
    • 18844395591 scopus 로고    scopus 로고
    • On the classification of CAT(0) structures for the 4-string braid group
    • Crisp J., and Paoluzzi L. On the classification of CAT(0) structures for the 4-string braid group. Michigan Math. J. 53 1 (2005) 133-163
    • (2005) Michigan Math. J. , vol.53 , Issue.1 , pp. 133-163
    • Crisp, J.1    Paoluzzi, L.2
  • 11
    • 0010681785 scopus 로고
    • The automorphism groups of the braid groups
    • Dyer J.L., and Grossman E.K. The automorphism groups of the braid groups. Amer. J. Math. 103 6 (1981) 1151-1169
    • (1981) Amer. J. Math. , vol.103 , Issue.6 , pp. 1151-1169
    • Dyer, J.L.1    Grossman, E.K.2
  • 12
    • 0037481007 scopus 로고
    • Sur les transformations périodiques de la surface de sphère
    • Eilenberg S. Sur les transformations périodiques de la surface de sphère. Fund. Math. 22 (1934) 28-41
    • (1934) Fund. Math. , vol.22 , pp. 28-41
    • Eilenberg, S.1
  • 13
    • 6944236035 scopus 로고    scopus 로고
    • Groups generated by positive multi-twists and the fake lantern problem
    • (electronic)
    • Hamidi-Tehrani H. Groups generated by positive multi-twists and the fake lantern problem. Algebr. Geom. Topol. 2 (2002) 1155-1178 (electronic)
    • (2002) Algebr. Geom. Topol. , vol.2 , pp. 1155-1178
    • Hamidi-Tehrani, H.1
  • 14
    • 1542404083 scopus 로고    scopus 로고
    • Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups
    • Irmak E. Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. Topology 43 3 (2004) 513-541
    • (2004) Topology , vol.43 , Issue.3 , pp. 513-541
    • Irmak, E.1
  • 16
    • 21444440651 scopus 로고    scopus 로고
    • The structure of subgroup of mapping class groups generated by two Dehn twists
    • Ishida A. The structure of subgroup of mapping class groups generated by two Dehn twists. Proc. Japan Acad. Ser. A Math. Sci. 72 10 (1996) 240-241
    • (1996) Proc. Japan Acad. Ser. A Math. Sci. , vol.72 , Issue.10 , pp. 240-241
    • Ishida, A.1
  • 17
    • 0001083192 scopus 로고
    • Automorphisms of Teichmüller modular groups
    • Topology and Geometry-Rohlin Seminar, Springer-Verlag, Berlin
    • Ivanov N.V. Automorphisms of Teichmüller modular groups. Topology and Geometry-Rohlin Seminar. Lecture Notes in Math. vol. 1346 (1988), Springer-Verlag, Berlin 199-270
    • (1988) Lecture Notes in Math. , vol.1346 , pp. 199-270
    • Ivanov, N.V.1
  • 18
    • 1542640314 scopus 로고
    • Subgroups of Teichmüller Modular Groups
    • Amer. Math. Soc., Providence, RI translated from the Russian by E.J.F. Primrose and revised by the author
    • Ivanov N.V. Subgroups of Teichmüller Modular Groups. Transl. Math. Monogr. vol. 115 (1992), Amer. Math. Soc., Providence, RI translated from the Russian by E.J.F. Primrose and revised by the author
    • (1992) Transl. Math. Monogr. , vol.115
    • Ivanov, N.V.1
  • 19
    • 0033248915 scopus 로고    scopus 로고
    • On injective homomorphisms between Teichmüller modular groups, I
    • Ivanov N.V., and McCarthy J.D. On injective homomorphisms between Teichmüller modular groups, I. Invent. Math. 135 2 (1999) 425-486
    • (1999) Invent. Math. , vol.135 , Issue.2 , pp. 425-486
    • Ivanov, N.V.1    McCarthy, J.D.2
  • 20
    • 0000113561 scopus 로고
    • The Nielsen realization problem
    • Kerckhoff S.P. The Nielsen realization problem. Ann. of Math. (2) 117 2 (1983) 235-265
    • (1983) Ann. of Math. (2) , vol.117 , Issue.2 , pp. 235-265
    • Kerckhoff, S.P.1
  • 21
    • 0002813645 scopus 로고
    • Über die periodischen Transformationen der Kreisscheibe und der Kugelfläche
    • de Kerékjártó B. Über die periodischen Transformationen der Kreisscheibe und der Kugelfläche. Math. Ann. 80 (1919) 3-7
    • (1919) Math. Ann. , vol.80 , pp. 3-7
    • de Kerékjártó, B.1
  • 22
    • 0007266437 scopus 로고    scopus 로고
    • Automorphisms of complexes of curves on punctured spheres and on punctured tori
    • Korkmaz M. Automorphisms of complexes of curves on punctured spheres and on punctured tori. Topology Appl. 95 2 (1999) 85-111
    • (1999) Topology Appl. , vol.95 , Issue.2 , pp. 85-111
    • Korkmaz, M.1
  • 23
    • 0036000536 scopus 로고    scopus 로고
    • Braid groups are linear
    • Krammer D. Braid groups are linear. Ann. of Math. (2) 155 (2002) 131-156
    • (2002) Ann. of Math. (2) , vol.155 , pp. 131-156
    • Krammer, D.1
  • 24
    • 33746608074 scopus 로고    scopus 로고
    • C.J. Leininger, D. Margalit, Abstract commensurators of braid groups, J. Algebra, in press
  • 26
    • 6944224191 scopus 로고    scopus 로고
    • A lantern lemma
    • Margalit D. A lantern lemma. Algebr. Geom. Topol. 2 electronic (2002) 1179-1195
    • (2002) Algebr. Geom. Topol. , vol.2 , Issue.electronic , pp. 1179-1195
    • Margalit, D.1
  • 27
    • 0002572580 scopus 로고
    • Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov
    • McCarthy J.D. Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov. Invent. Math. 84 1 (1986) 49-71
    • (1986) Invent. Math. , vol.84 , Issue.1 , pp. 49-71
    • McCarthy, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.