Diagram rigidity for geometric amalgamations of free groups
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
We prove a topological rigidity result for simple, thick, hyperbolic P-manifolds of dimension 2: isomorphism of the fundamental groups implies homeomorphism of the P-manifolds. An immediate application is a diagram rigidity theorem for certain amalgamations of free groups: the direct limits of two such diagrams are isomorphic if and only if there is an isomorphism between the respective diagrams.
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Cite
@article{arxiv.math/0506518,
title = {Diagram rigidity for geometric amalgamations of free groups},
author = {J. -F. Lafont},
journal= {arXiv preprint arXiv:math/0506518},
year = {2007}
}
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16 pages