Folding-like techniques for CAT(0) cube complexes
Group Theory
2022-09-13 v1 Geometric Topology
Abstract
In a seminal paper, Stallings introduced folding of morphisms of graphs. One consequence of folding is the representation of finitely-generated subgroups of a finite-rank free group as immersions of finite graphs. Stallings's methods allow one to construct this representation algorithmically, giving effective, algorithmic answers and proofs to classical questions about subgroups of free groups. Recently Dani--Levcovitz used Stallings-like methods to study subgroups of right-angled Coxeter groups, which act geometrically on CAT(0) cube complexes. In this paper we extend their techniques to fundamental groups of non-positively curved cube complexes.
Cite
@article{arxiv.2011.05374,
title = {Folding-like techniques for CAT(0) cube complexes},
author = {Michael Ben-Zvi and Robert Kropholler and Rylee Alanza Lyman},
journal= {arXiv preprint arXiv:2011.05374},
year = {2022}
}
Comments
12 pages