Second Order Dehn Functions of Asynchronously Automatic Groups
Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 310-318

Voir la notice de l'article provenant de la source Cambridge University Press

Upper bounds of second order Dehn functions of asynchronously automatic groups are obtained.
DOI : 10.4153/CMB-2003-032-x
Mots-clés : 20E06, 20F05, 57M05, second order Dehn function, combing, asynchronously automatic group
Wang, Xiaofeng. Second Order Dehn Functions of Asynchronously Automatic Groups. Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 310-318. doi: 10.4153/CMB-2003-032-x
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[1] [1] Alonso, J. A., Bogley, W. A., Burton, R. M., Pride, S. J. and Wang, X., Second order Dehn functions of groups. Quart. J. Math. Oxford (2) 49 (1998), 1–30. Google Scholar

[2] [2] Alonso, J. A., Wang, X. and Pride, S. J., Higher dimensional Dehn functions of groups. J. Group Theory 2 (1999), 81–112. Google Scholar

[3] [3] Bogley, W. A. and Pride, S. J., Calculating generators of π . In: Low-Dimensional Homotopy Theory and Combinatorial Group Theory (eds. C. Hog-Angeloni, W. Metzler and A. Sieradski), Cambridge University Press, 1993, 157–188. Google Scholar

[4] [4] Bridson, M. R., Combings of semidirect products and 3-manifold groups. Geom. Funct. Analysis 3 (1993), 263–278. Google Scholar

[5] [5] Bridson, M. R. and Pittet, Ch., Isoperimetric inequalities for the fundamental groups of torus bundles over the circle. Preprint, Princeton University, 1992. Google Scholar

[6] [6] Epstein, D. B. A., Cannon, J. W., Holt, D. F., Levy, S. V. F., Paterson, M. S. and Thurston, W. P., Word processing in groups. Bartlett and Jones, Boston, 1992. Google Scholar

[7] [7] Gromov, M., Asymptotic invariants of infinite groups. In: Geometric Group Theory (eds. G. Niblo and M. Roller), LondonMath. Soc. Lecture Note Series 182, Oxford University Press, 1993. Google Scholar

[8] [8] Pride, S. J., Identities among relations of groups presentations. In: Group Theory from a Geometric Viewpoint (Trieste, 1990) (eds. E. Ghy, A. Haeìger and A. Verjosky), World Scientific Publishing, Singapore, 1991, 687–717. Google Scholar

[9] [9] Wang, X., Mappings of groups and quasi-retraction. J. Group Theory 2 (1999), 435–446. Google Scholar

[10] [10] Wang, X., Second order isoperimetric functions of split extensions. Southeast Asian Bull. Math. 25 (2001), 345–354. Google Scholar

[11] [11] Wang, X., Second order Dehn functions of split extensions of the form Z2 × F. Comm. Algebra 30 (2002), 4121–4138. Google Scholar

[12] [12] Wang, X. and Pride, S. J., Second order Dehn functions and HNN-extensions. J. Austral. Math. Soc. Ser. A 67 (1999), 272–288. Google Scholar

[13] [13] Wang, X. and Pride, S. J., Second order Dehn functions of groups and monoids. Internat. J. Algebra Comput. 10 (2000), 425–456. Google Scholar

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