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ISOPERIMETRIC FUNCTIONS OF GROUPS ACTING ON Lδ-SPACES

Published online by Cambridge University Press:  01 January 2007

JON CORSON  and
DOHYOUNG RYANG
JON CORSON
Affiliation:
University of Alabama, Tuscaloosa, Alabama 35487, USA e-mail: [email protected]
DOHYOUNG RYANG
Affiliation:
Talladega College, Talladega, Alabama 35160, USA e-mail: [email protected]
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Abstract.

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A finitely generated group acting properly, cocompactly, and by isometries on an Lδ-metric space is finitely presented and has a sub-cubic isoperimetric function.

Keywords

20F65
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 23 - 28
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

REFERENCES

1.Bridson, M. and Haefliger, A., Metric spaces of non-positive curvature (Springer-Verlag, 1999).CrossRefGoogle Scholar
2.Chatterji, I., On property RD for certain discrete groups, Ph.D. Thesis, 2001. available at www.math.ohio-state.edu/~indira.Google Scholar
3.Chatterji, I. and Ruane, K., Some geometric groups with rapid decay, Geometric and Functional Analysis 15 (2005), 311–339.CrossRefGoogle Scholar
4.Elder, M., L δ groups are almost convex and have a sub-cubic Dehn function, Algebraic and Geometric Topology 4 (2004), 23–29.CrossRefGoogle Scholar
5.Gromov, M., Hyperbolic groups, in Essays in Group Theory (Gersten, S. M., editor), (Springer-Verlag, 1987), 75–263.CrossRefGoogle Scholar
6.de la Harpe, P., Topics in geometric group theory (The University of Chicago Press, 2000).Google Scholar
7.Neumann, M. and Shapiro, M., A short course in geometric group theory (Notes for the ANU Workshop, 1996).Google Scholar