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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

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