Second order Dehn functions of groups

Quarterly Journal of Mathematics

Volumn 49, Issue 193, 1998, Pages 1-30

  Alonso, J M ^a   Bogley, W A ^b   Burton, R M ^b   Pride, S J ^c   Wang, X ^c  

^a STOCKHOLM UNIVERSITY   (Sweden)

^b OREGON STATE UNIVERSITY   (United States)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032370334     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmath/49.193.1     Document Type: Article

References (23)

1. A. G. B. Ahmad, The application of pictures to decision problems and relative presentations, Ph.D. thesis, University of Glasgow (1995).
2. J. M. Alonso, S. J. Pride and X. Wang, Higher dimensional isoperimetric (or Dehn) functions of groups, preprint, University of Stockholm (1996).
3. J. M. Alonso, T. Brady, D. Cooper, V. Ferlini, M. Lustig, M. Mihalik, M. Shapiro and H. Short, 'Notes on word hyperbolic groups' in Group Theory from a Geometrical Viewpoint, A. Haefliger, E. Ghys and A. Verjovsky, eds., World Scientific, Singapore (1991) 3-63.
4. Y. G. Baik, W. A. Bogley and S. J. Pride, Asphericity of positive length four relative presentations, International Journal of Algebra and Computation 7 (1997), 277-312.
5. G. Baumslag, M. R. Bridson, C. F. Miller III and H. Short, Finitely presented subgroups of automatic groups and their isoperimetric functions, Proc. London Math. Soc., to appear.
6. G. Baumslag, S. M. Gersten, M. Shapiro and H. Short, 'Automatic groups and amalgams', in Algorithms and Classification in Combinatorial Group Theory, G. Baumslag and C. F. Miller III, eds., Vol. 23 of the MSRI series, Springer-Verlag New York (1992) 179-194.
7. Y. G. Baik, J. Howie and S. J. Pride, 'The identity problem for graph products of groups', J. Alg. 162 (1993), 168-177.
8. G. Baumslag, C. F. Miller III and H. Short, 'Isoperimetric inequalities and the homology of groups', Invent. Math. 113 (1993), 541-560.
9. 2', in Two-dimensional Homotopy Theory and Combinatorial Group Theory, W. Metzler, C. Hog-Angeloni and A. Sieradski, eds., London Mathematical Society Lecture Notes Series No. 197, Cambridge University Press, Cambridge (1993), 157-188.
10. W. A. Bogley and S. J. Pride, 'Aspherical relative presentations', Proc. Edin. Math. Soc. 35 (1992), 1-39.
11. S. G. Brick, 'On Dehn functions and products of groups', Trans. Amer. Math. Soc. (1) 335 (1993), 369-384.
12. M. R. Bridson, 'Polynomial isoperimetric inequalities and the length of asynchronoulsy automatic structures' preprint, University of Oxford.
13. I. Chiswell, D. Collins and J. Huebschmann, 'Aspherical group presentations', Math. Z. 178 (1981), 1-36.
14. M. Coornaert, T. Delzant and A. Papadopoulos, Notes sur les Groupes Hyperboliques de Gromov, Lecture Notes in Mathematics vol. 144, Springer, Berlin (1990).
15. D. B. A. Epstein, J. W. Cannon, D. F. Holt, S. V. F. Levy, M. S. Paterson and W. P. Thurston, Word Processing in Groups, Bartlett and Jones, Boston (1992).
16. M. Edjvet, 'On the asphericity of one relator relative presentations', Proc. R. Soc. Edin. 124A (1994), 713-728.
17. S. M. Gersten, 'Problems on automatic groups', in Algorithms and Classification in Combinatorial Group Theory, G. Baumslag and C. F. Miller III, eds., Vol. 23 MSRI series, Springer-Verlag New York (1992) 225-232.
18. 1-norms of finite presentations', in Algorithms and Classification in Combinatorial Group Theory, G. Baumslag, C. F. Miller III, eds., Vol. 23 MSRI series, Springer-Verlag New York (1992) 195-224.
19. M. Gromov, 'Hyperbolic groups', in Essays in Group Theory, MSRI series. Vol. 8, Springer-Verlag New York (1987), 75-263.
20. M. Gromov, 'Asymptotic invariants of infinite groups', in Geometric Group Theory, London Mathematical Lecture Notes Series, No 182, Cambridge University Press, Cambridge (1993).
21. S. J. Pride, 'Identities among relations of group presentations', in Group theory from a Geometric Viewpoint, Trieste, 1990, E. Ghys, A. Haefliger and A. Verjovsky, eds., World Scientific Publishing, Singapore (1991), 687-717.
22. S. J. Pride and X. Wang, 'Second order Dehn functions of groups II', in preparation.
23. X. Wang, Second order Dehn functions of monoids and groups, Ph.D. thesis, University of Glasgow (1996).