On the Tits alternative for $PD(3)$ groups
Geometric Topology
2019-01-29 v3
Abstract
We prove the Tits alternative for an almost coherent group which is not virtually properly locally cyclic. In particular, we show that an almost coherent group which cannot be generated by fewer than four elements always contains a rank 2 free group.
Cite
@article{arxiv.1710.10670,
title = {On the Tits alternative for $PD(3)$ groups},
author = {Michel Boileau and Steven Boyer},
journal= {arXiv preprint arXiv:1710.10670},
year = {2019}
}
Comments
16 pages, minor corrections, to appear in Ann. Fac. Sci. Toulouse Math