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Second order Dehn functions and HNN-extensions

Part of: Low-dimensional topology Special aspects of infinite or finite groups Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

X. Wang  and
S. J. Pride
X. Wang
Affiliation:
Shenzhen University Shenzhen City 518060 Guangdong P. R. China e-mail: wangxf@szu.edu.cn
S. J. Pride
Affiliation:
The University of GlasgowUniversity Gardens Glasgow G12 8QW UK e-mail: sjp@maths.gla.ac.uk
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Abstract

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In previous work [2] calculations of subquadratic second order Dehn functions for various groups were carried out. In this paper we obtain estimates for upper and lower bounds of second order Dehn functions of HNN-extensions, and use these to exhibit an infinite number of different superquadratic second order Dehn functions. At the end of the paper several open questions concerning second order Dehn functions of groups are discussed.

MSC classification

Secondary: 20E06: Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations 20F05: Generators, relations, and presentations 20F06: Cancellation theory; application of van Kampen diagrams 57M05: Fundamental group, presentations, free differential calculus 57M07: Topological methods in group theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 67 , Issue 2 , October 1999 , pp. 272 - 288
Copyright
Copyright © Australian Mathematical Society 1999

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