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Dehn functions and complexes of groups

Published online by Cambridge University Press:  18 May 2009

Stephen G. Brick  and
Jon M. Corson
Stephen G. Brick
Affiliation:
Department of Mathematics and Statistics, University of South AlabamaMobileAL 36688 E-mail address:brick@mathstat.usouthal.edu
Jon M. Corson
Affiliation:
Department of MathematicsUniversity of AlabamaTuscaloosaAL 35487-0350 E-mail address: jcorson@mathdept.as.ua.edu
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Abstract

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We study the Dehn functions of the fundamental groups of complexes of groups. We study a function known as the Howie function, which has a natural geometric formulation. We make use of the Howie function to obtain an upper bound for the Dehn function of the complex of groups. And we show a connection between the Howie function and actions on complexes.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 1 , March 1998 , pp. 33 - 46
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

REFERENCES

1.Brick, S. G., On Dehn functions and products of groups, Trans. Amer. Math. Soc. 335 (1993), 369–384.CrossRefGoogle Scholar
2.Corson, J. M., Groups acting on complexes and complexes of groups in Geometric group theory (Charney, , Davis, and Shapiro, , eds.), (Walter de Gruyter & Co., Berlin, New York, 1995), 79–97.CrossRefGoogle Scholar
3.Corson, J. M., Howie Diagrams and complexes of groups, Comm. Algebra 23 (1995), 5221–5242.CrossRefGoogle Scholar
4.Corson, J. M. and Spieler, B. S., The QSF property and group actions via complexes of spaces, preprint.Google Scholar
5.Gromov, M., Hyperbolic groups in Essays in group theory (Gersten, S. M., eds.), (Springer-Verlag, 1987), 75–264.CrossRefGoogle Scholar
6.Lyndon, R. C. and Schupp, P. E., Combinatorial group theory (Springer-Verlag, 1977).Google Scholar
7.Serre, J.-P., Trees (Springer-Verlag, 1980).CrossRefGoogle Scholar