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arXiv · 1009.3407

Local Quasiconvexity of Groups acting on Small Cancellation Complexes

Eduardo Martinez-Pedroza·Daniel T. Wise
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Abstract

Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalizes the "perimeter method". As an application, we show that high-powered one-relator products $A \ast B / \nclose{r^n}$ are coherent if $A$ and $B$ are coherent.

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Eduardo Martinez-Pedroza, Daniel T. Wise. 2010-09-17. Local Quasiconvexity of Groups acting on Small Cancellation Complexes. https://doi.org/10.1016/j.jpaa.2010.12.019

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