A Generalized Axis Theorem for Cube Complexes
Group Theory
2018-03-16 v2
Abstract
We consider a finitely generated virtually abelian group acting properly and without inversions on a CAT(0) cube complex . We prove that stabilizes a finite dimensional CAT(0) subcomplex that is isometrically embedded in the combinatorial metric. Moreover, we show that is a product of finitely many quasilines. The result represents a higher dimensional generalization of Haglund's axis theorem.
Cite
@article{arxiv.1602.01952,
title = {A Generalized Axis Theorem for Cube Complexes},
author = {Daniel J. Woodhouse},
journal= {arXiv preprint arXiv:1602.01952},
year = {2018}
}
Comments
14 pages Corrected proof of Corollary 1.4. Various other corrections made following referee report and comments made by thesis examiner. Appendix added giving a proof of a theorem by Gerasimov