메뉴 건너뛰기




Volumn 156, Issue 2, 2002, Pages 345-466

Isoperimetric and isodiametric functions of groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036761089     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/3597195     Document Type: Article
Times cited : (87)

References (27)
  • 2
    • 0000683380 scopus 로고
    • Inégalités isopérimétriques et quasi-isométries
    • J. Alonso, Inégalités isopérimétriques et quasi-isométries, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), 761-764.
    • (1990) C.R. Acad. Sci. Paris Sér. I Math. , vol.311 , pp. 761-764
    • Alonso, J.1
  • 3
    • 0000498381 scopus 로고
    • Isoperimetric inequalities and the homology of groups
    • G. Baumslag, C.F. Miller III, and H. Short, Isoperimetric inequalities and the homology of groups, Invent. Math. 113 (1993), 531-560.
    • (1993) Invent. Math. , vol.113 , pp. 531-560
    • Baumslag, G.1    Miller C.F. III2    Short, H.3
  • 4
    • 0032328946 scopus 로고    scopus 로고
    • Time-complexity of the word problem for semigroups and the Higman embedding theorem
    • J.C. Birget, Time-complexity of the word problem for semigroups and the Higman embedding theorem, Internat. J. Algebra Comput. 8 (1998), 235-294.
    • (1998) Internat. J. Algebra Comput. , vol.8 , pp. 235-294
    • Birget, J.C.1
  • 5
    • 0036761521 scopus 로고    scopus 로고
    • Isoperimetric functions of groups and computational complexity of the word problem
    • J.C. Birget, A.Yu. Olshanskii, E. Rips, and M. Sapir, Isoperimetric functions of groups and computational complexity of the word problem, Ann. of Math. 156 (2002), 467-518.
    • (2002) Ann. of Math. , vol.156 , pp. 467-518
    • Birget, J.C.1    Olshanskii, A.Yu.2    Rips, E.3    Sapir, M.4
  • 6
    • 0016939583 scopus 로고
    • Fast multiple-precision evaluation of elementary functions
    • R.P. Brent, Fast multiple-precision evaluation of elementary functions, J. Assoc. Comput. Mach. 23 (1976), 242-251.
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 242-251
    • Brent, R.P.1
  • 7
    • 0033426311 scopus 로고    scopus 로고
    • Fractional isoperimetric inequalities and subgroup distortion
    • M. Bridson, Fractional isoperimetric inequalities and subgroup distortion, J. Amer. Math. Soc. 12 (1999), 1103-1118.
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 1103-1118
    • Bridson, M.1
  • 8
    • 0011826631 scopus 로고
    • Isodiametric and isoperimetric inequalities for group presentations
    • D.E. Cohen, Isodiametric and isoperimetric inequalities for group presentations, Internat. J. Algebra Comput. 1 (1991), 315-320.
    • (1991) Internat. J. Algebra Comput. , vol.1 , pp. 315-320
    • Cohen, D.E.1
  • 9
    • 0011913002 scopus 로고
    • The word problem for geometrically finite groups
    • W.J. Floyd, A.H.M. Hoare, and R.C. Lyndon, The word problem for geometrically finite groups, Geom. Dedicata 20 (1986), 201-207.
    • (1986) Geom. Dedicata , vol.20 , pp. 201-207
    • Floyd, W.J.1    Hoare, A.H.M.2    Lyndon, R.C.3
  • 10
    • 0000119878 scopus 로고
    • 1-norms for finite presentations
    • Algorithms and Classification in Combinatorial Group Theory (G. Baumslag, C.F. Miller, eds.) Springer-Verlag, New York
    • 1-norms for finite presentations, in Algorithms and Classification in Combinatorial Group Theory (G. Baumslag, C.F. Miller, eds.), MSRI Publ. 23 (1992), 195-224, Springer-Verlag, New York.
    • (1992) MSRI Publ. , vol.23 , pp. 195-224
    • Gersten, S.M.1
  • 11
    • 0002310457 scopus 로고
    • Isoperimetric functions of groups and exotic cohomology
    • Combinatorial and Geometric Group Theory (Edinburgh, 1993)
    • _, Isoperimetric functions of groups and exotic cohomology, in Combinatorial and Geometric Group Theory (A.J. Duncan, N.D. Gilbert, and J. Howie, eds.) (Edinburgh, 1993), London Math. Soc. Lecture Notes Series 204 (1995), 87-104.
    • (1995) London Math. Soc. Lecture Notes Series , vol.204 , pp. 87-104
    • Duncan, A.J.1    Gilbert, N.D.2    Howie, J.3
  • 12
    • 0001258135 scopus 로고
    • The double exponential theorem for isodiametric and isoperimetric functions
    • _, The double exponential theorem for isodiametric and isoperimetric functions, Internat. J. Algebra Comput. 1 (1991), 321-327.
    • (1991) Internat. J. Algebra Comput. , vol.1 , pp. 321-327
  • 13
    • 0003195390 scopus 로고
    • Hyperbolic groups
    • Essays in Group Theory (S.M. Gersten, ed.) Springer-Verlag, New York
    • M. Gromov, Hyperbolic groups, in Essays in Group Theory (S.M. Gersten, ed.), MSRI Publ. 8, Springer-Verlag, New York, 1987, 75-263.
    • (1987) MSRI Publ. , vol.8 , pp. 75-263
    • Gromov, M.1
  • 14
    • 0002874575 scopus 로고
    • Asymptotic invariants of infinite groups
    • Geometric Group Theory, Vol. 2
    • _, Asymptotic invariants of infinite groups, in Geometric Group Theory, Vol. 2 (G.A. Niblo and M.A. Roller, eds.), London Math. Soc. Lecture Notes Ser. 182 (1993), 1-295.
    • (1993) London Math. Soc. Lecture Notes Ser. , vol.182 , pp. 1-295
    • Niblo, G.A.1    Roller, M.A.2
  • 16
    • 22644449617 scopus 로고    scopus 로고
    • On Dehn functions of free products of groups
    • _, On Dehn functions of free products of groups, Proc. Amer. Math. Soc. 127 (1999), 1885-1891.
    • (1999) Proc. Amer. Math. Soc. , vol.127 , pp. 1885-1891
  • 19
    • 0003947113 scopus 로고
    • Elsevier Science Publ., Amsterdam, and MIT Press, Cambridge, Mass.
    • J. van Leeuwen (ED.), Handbook of Theoretical Computer Science, Vol. A, Elsevier Science Publ., Amsterdam, and MIT Press, Cambridge, Mass., 1990.
    • (1990) Handbook of Theoretical Computer Science , vol.A
    • Van Leeuwen, J.1
  • 22
    • 84861191133 scopus 로고
    • Pseudonatural algorithms for the word problem for finitely presented monoids and groups
    • K. Madlener and F. Otto, Pseudonatural algorithms for the word problem for finitely presented monoids and groups, J. Symbolic Computat. 1 (1985), 383-418.
    • (1985) J. Symbolic Computat. , vol.1 , pp. 383-418
    • Madlener, K.1    Otto, F.2
  • 23
    • 84980151281 scopus 로고
    • The geometry of Higman-Neumann-Neumann extensions
    • C.F. Miller III and P.E. Schupp, The geometry of Higman-Neumann-Neumann extensions, Comm. Pure Appl. Math. 26 (1973), 787-802.
    • (1973) Comm. Pure Appl. Math. , vol.26 , pp. 787-802
    • Miller C.F. III1    Schupp, P.E.2
  • 24
    • 0003343142 scopus 로고
    • Geometry of defining relations in groups
    • Translated from the 1989 Russian original by Yu.A. Bakhturin, Kluwer Academic Publishers Group, Dordrecht
    • A.Yu. Ol'shanskii, Geometry of Defining Relations in Groups, Translated from the 1989 Russian original by Yu.A. Bakhturin, Mathematics and its Applications (Soviet Series) 70, Kluwer Academic Publishers Group, Dordrecht, 1991.
    • (1991) Mathematics and its Applications (Soviet Series) , vol.70
    • Ol'shanskii, A.Yu.1
  • 25
    • 0003182309 scopus 로고    scopus 로고
    • On the distortion of subgroups of finitely presented groups (Russian)
    • translation in Sb. Math. 188 (1997) 1617-1664
    • _, On the distortion of subgroups of finitely presented groups (Russian), Mat. Sb. 188 (1997), 51-98; translation in Sb. Math. 188 (1997), 1617-1664.
    • (1997) Mat. Sb. , vol.188 , pp. 51-98


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.