Groups of p-deficiency one
Group Theory
2011-08-02 v1
Abstract
The main result of [4] is that all finitely presented groups of p-deficiency greater than one are p-large. Here we prove that groups with a finite presentation of p-deficiency one possess a finite index subgroup that surjects onto . This implies that these groups do not have Kazhdan's property (T). Additionally, we prove that the main result of [4] implies a result of Lackenby [8].
Keywords
Cite
@article{arxiv.1108.0274,
title = {Groups of p-deficiency one},
author = {Anitha Thillaisundaram},
journal= {arXiv preprint arXiv:1108.0274},
year = {2011}
}