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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
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Abstract

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

Keywords

20E0620F0557M05second order Dehn functioncombingasynchronously automatic group

Information

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