Rank 1 phenomena for 1-relator and deficiency 1 groups
Group Theory
2025-10-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2510.15469,
title = {Rank 1 phenomena for 1-relator and deficiency 1 groups},
author = {J O Button},
journal= {arXiv preprint arXiv:2510.15469},
year = {2025}
}
Comments
24 pages