Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Group Theory
2021-06-24 v2
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 are coherent if and are coherent.
Keywords
Cite
@article{arxiv.1009.3407,
title = {Local Quasiconvexity of Groups acting on Small Cancellation Complexes},
author = {Eduardo Martinez-Pedroza and Daniel T. Wise},
journal= {arXiv preprint arXiv:1009.3407},
year = {2021}
}