Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-26T15:54:54.595Z Has data issue: false hasContentIssue false
  • English
  • Français

Second Order Dehn Functions of Asynchronously Automatic Groups

Published online by Cambridge University Press:  20 November 2018

Xiaofeng Wang
Xiaofeng Wang*
Affiliation:
Department of Mathematics, Shenzhen University, Shenzhen 518060, P. R. China, email: wangxf@szu.edu.cn
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Upper bounds of second order Dehn functions of asynchronously automatic groups are obtained.

Keywords

20E0620F0557M05second order Dehn functioncombingasynchronously automatic group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 2 , 01 June 2003 , pp. 310 - 318
Copyright
Copyright © Canadian Mathematical Society 2003

References

[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] 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] Bogley, W. A. and Pride, S. J., Calculating generators of π2 . 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] Bridson, M. R., Combings of semidirect products and 3-manifold groups. Geom. Funct. Analysis 3 (1993), 263–278.Google Scholar
[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] 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] 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] 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] Wang, X., Mappings of groups and quasi-retraction. J. Group Theory 2 (1999), 435–446.Google Scholar
[10] Wang, X., Second order isoperimetric functions of split extensions. Southeast Asian Bull. Math. 25 (2001), 345–354.Google Scholar
[11] Wang, X., Second order Dehn functions of split extensions of the form Z2 ×ϕ F. Comm. Algebra 30 (2002), 4121–4138.Google Scholar
[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] Wang, X. and Pride, S. J., Second order Dehn functions of groups and monoids. Internat. J. Algebra Comput. 10 (2000), 425–456.Google Scholar