Local Quasiconvexity of Groups acting on Small Cancellation Complexes

Details Local Quasiconvexity of Groups acting on Small Cancellation Complexes Local Quasiconvexity of Groups acting on Small Cancellation Complexes

2010-09-17

arxiv.org/abs/1009.3407v1

Mathematics

Group Theory

version 1. 14 pages, 4 figures

Scientific paper

10.1016/j.jpaa.2010.12.019

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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