arXiv subjects

J O Button

Publications and source records attributed to J O Button.

2 recordsLinked to original sources

arXiv2025

Rank 1 phenomena for 1-relator and deficiency 1 groups

We examine second bounded cohomology and mod p homology in finite index subgroups of 1-relator groups and groups with a presentation of deficiency at least one. We use this to determine exactly which 1-relator groups are boundedly generated, as well as the groups of deficiency at least one up to a class of groups that conjecturally do not exist.

math.GR↗

arXiv2018

Tubular groups and non positive curvature

We show (using results of Wise and of Woodhouse) that a tubular group is always virtually special (meaning that it has a finite index subgroup embedding in a RAAG) if the underlying graph is a tree. We also adapt Gardam and Woodhouse's argument on tubular groups which double cover 1-relator groups to show there exist 1-relator groups which are CAT(0) but not residually finite.

math.GR↗