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Volumn 266, Issue 1, 2003, Pages 112-132

Conjugacy problem for braid groups and garside groups

Author keywords

Artin groups; Braid groups; Conjugacy problem; Garside groups; Small Gaussian groups

Indexed keywords


EID: 0041657285     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(03)00292-8     Document Type: Article
Times cited : (58)

References (16)
  • 1
    • 0000942205 scopus 로고
    • Theory of braids
    • E. Artin, Theory of braids, Ann. of Math. 48 (1946) 101-126.
    • (1946) Ann. of Math. , vol.48 , pp. 101-126
    • Artin, E.1
  • 2
    • 0033245872 scopus 로고    scopus 로고
    • An algebraic method for public-key cryptography
    • I. Anshel, M. Anshel, D. Goldfeld, An algebraic method for public-key cryptography, Math. Res. Lett. 6 (3-4) (1999) 287-291.
    • (1999) Math. Res. Lett. , vol.6 , Issue.3-4 , pp. 287-291
    • Anshel, I.1    Anshel, M.2    Goldfeld, D.3
  • 3
    • 0001131295 scopus 로고    scopus 로고
    • A new approach to the word and conjugacy problems in the braid groups
    • J. Birman, K.H. Ko, S.J. Lee, A new approach to the word and conjugacy problems in the braid groups, Adv. Math. 139 (2) (1998) 322-353.
    • (1998) Adv. Math. , vol.139 , Issue.2 , pp. 322-353
    • Birman, J.1    Ko, K.H.2    Lee, S.J.3
  • 4
    • 0009953540 scopus 로고    scopus 로고
    • The infimum, supremum and geodesic length of a braid conjugacy class
    • Preprint
    • J. Birman, K.H. Ko, S.J. Lee, The infimum, supremum and geodesic length of a braid conjugacy class, Preprint, 2000.
    • (2000)
    • Birman, J.1    Ko, K.H.2    Lee, S.J.3
  • 5
    • 0004115280 scopus 로고
    • Groupes et algèbres de Lie
    • Chapitres IV-VI, Hermann, Paris
    • N. Bourbaki, Groupes et algèbres de Lie, Chapitres IV-VI, Hermann, Paris, 1968.
    • (1968)
    • Bourbaki, N.1
  • 6
    • 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
  • 7
    • 0001564155 scopus 로고
    • Artin groups of finite type are biautomatic
    • R. Charney, Artin groups of finite type are biautomatic, Math. Ann. 292 (4) (1992) 671-683.
    • (1992) Math. Ann. , vol.292 , Issue.4 , pp. 671-683
    • Charney, R.1
  • 9
    • 0000850020 scopus 로고    scopus 로고
    • Gaussian groups and Garside groups, two generalizations of Artin groups
    • P. Dehornoy, L. Paris, Gaussian groups and Garside groups, two generalizations of Artin groups, Proc. London Math. Soc. 79 (3) (1999) 569-604.
    • (1999) Proc. London Math. Soc. , vol.79 , Issue.3 , pp. 569-604
    • Dehornoy, P.1    Paris, L.2
  • 11
    • 0039349071 scopus 로고
    • The braid group and other groups
    • F.A. Garside, The braid group and other groups, Quart. J. Math. Oxford 20 (1969) 235-254.
    • (1969) Quart. J. Math. Oxford , vol.20 , pp. 235-254
    • Garside, F.A.1
  • 12
    • 84974622583 scopus 로고    scopus 로고
    • New public-key cryptosystem using braid groups
    • CRYPTO 2000, Santa Barbara, CA, in: Lecture Notes in Comput. Sci., Vol. 1880, Springer, Berlin
    • K.H. Ko, S.J. Lee, J.H. Cheon, J.W. Han, J. Kang, C. Park, New public-key cryptosystem using braid groups, in: Advances in Cryptology, CRYPTO 2000, Santa Barbara, CA, in: Lecture Notes in Comput. Sci., Vol. 1880, Springer, Berlin, 2000, pp. 166-183.
    • (2000) Advances in Cryptology , pp. 166-183
    • Ko, K.H.1    Lee, S.J.2    Cheon, J.H.3    Han, J.W.4    Kang, J.5    Park, C.6
  • 13
    • 0033130574 scopus 로고    scopus 로고
    • A note on words in braid monoids
    • J. Michel, A note on words in braid monoids, J. Algebra 215 (1999) 366-377.
    • (1999) J. Algebra , vol.215 , pp. 366-377
    • Michel, J.1
  • 14
    • 0004284881 scopus 로고    scopus 로고
    • Petits groupes gaussiens
    • PhD thesis, Université de Caen
    • M. Picantin, Petits groupes gaussiens, PhD thesis, Université de Caen, 2000.
    • (2000)
    • Picantin, M.1
  • 15
    • 0006796197 scopus 로고    scopus 로고
    • The conjugacy problem in small Gaussian groups
    • M. Picantin, The conjugacy problem in small Gaussian groups, Comm. Algebra 29 (3) (2001) 1021-1039.
    • (2001) Comm. Algebra , vol.29 , Issue.3 , pp. 1021-1039
    • Picantin, M.1
  • 16
    • 0042259828 scopus 로고
    • Braid groups, Chapter 9, in: D.B.A. Epstein, J.W. Cannon, D.F. Holt, S.V.F. Levy, M.S. Paterson, W.P. Thurston (Eds.), Word Processing in Groups, Jones and Bartlett, Boston, MA
    • W.P. Thurston, Braid groups, Chapter 9, in: D.B.A. Epstein, J.W. Cannon, D.F. Holt, S.V.F. Levy, M.S. Paterson, W.P. Thurston (Eds.), Word Processing in Groups, Jones and Bartlett, Boston, MA, 1992.
    • (1992)
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.