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Volumn 78, Issue 1-2, 1997, Pages 39-60

Band-generator presentation for the 4-braid group

Author keywords

4 braid; Band generator; Conjugacy problem; Shortest word problem; Word problem

Indexed keywords


EID: 0002642275     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (11)
  • 1
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    • Theory of braids
    • E. Artin, Theory of braids, Ann. of Math. 48 (1947) 101-126.
    • (1947) Ann. of Math. , vol.48 , pp. 101-126
    • Artin, E.1
  • 2
    • 0002519851 scopus 로고
    • Entrelacements et équations de Pfaff
    • D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-108 (1983) 87-161.
    • (1983) Astérisque , vol.107-108 , pp. 87-161
    • Bennequin, D.1
  • 3
    • 0003316111 scopus 로고
    • Braids, Links and Mapping Class Groups
    • Princeton Univ. Press
    • J.S. Birman, Braids, Links and Mapping Class Groups, Ann. Math. Stud. 82 (Princeton Univ. Press, 1974).
    • (1974) Ann. Math. Stud. , vol.82
    • Birman, J.S.1
  • 4
    • 15944396401 scopus 로고
    • Studying links via closed braids
    • Mathematics Research Center, Korea Advanced Institute of Science and Technology
    • J.S. Birman, Studying links via closed braids, Lecture Notes of the Ninth KAIST Mathematics Workshop, Vol. 1 (Mathematics Research Center, Korea Advanced Institute of Science and Technology, 1995) 1-67.
    • (1995) Lecture Notes of the Ninth KAIST Mathematics Workshop , vol.1 , pp. 1-67
    • Birman, J.S.1
  • 5
    • 0038631319 scopus 로고
    • Studying links via closed braids II: On a theorem of Bennequin
    • J.S. Birman and W.W. Menasco, Studying links via closed braids II: on a theorem of Bennequin, Topology Appl. 40 (1991) 71-82.
    • (1991) Topology Appl. , vol.40 , pp. 71-82
    • Birman, J.S.1    Menasco, W.W.2
  • 6
    • 84972582198 scopus 로고
    • Studying links via closed braids III: Classifying links which are closed 3-braids
    • J.S. Birman and W. Menasco, Studying links via closed braids III: classifying links which are closed 3-braids, Pacific J. Math. 161 (1993) 25-113.
    • (1993) Pacific J. Math. , vol.161 , pp. 25-113
    • Birman, J.S.1    Menasco, W.2
  • 8
  • 9
    • 0039349071 scopus 로고
    • The braid group and other groups
    • F.A. Garside, The braid group and other groups, Quart. J. Math. Oxford 20 (78) (1969) 235-254.
    • (1969) Quart. J. Math. Oxford , vol.20 , Issue.78 , pp. 235-254
    • Garside, F.A.1
  • 10
    • 0009952093 scopus 로고    scopus 로고
    • Genera of some closed 4-braids
    • K.H. Ko and S.J. Lee, Genera of some closed 4-braids, Topology Appl. 78 (1997) 61-77 (this issue).
    • (1997) Topology Appl. , vol.78 , Issue.THIS ISSUE , pp. 61-77
    • Ko, K.H.1    Lee, S.J.2
  • 11
    • 0007847747 scopus 로고
    • The genus of closed 3-braids
    • P.J. Xu, The genus of closed 3-braids, J. Knot Theory Ramifications 1 (3) (1992) 303-326.
    • (1992) J. Knot Theory Ramifications , vol.1 , Issue.3 , pp. 303-326
    • Xu, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.