Positive rank gradient and p-largeness for groups defined by presentations with p-deficiency less than or equal to one
Group Theory
2013-06-12 v1
Abstract
It is an immediate consequence of the results by Yiftach and Schlage-Puchta that a presentation with p-deficiency greater than one defines a group with positive rank gradient. By results of Button and Thillaisundaram, a finite presentation with p-deficiency greater than one defines a p-large group. Both Yiftach/Schlage-Puchta and Thillaisundaram extended these results to the p-deficiency one case. In this paper we consider the case when the presentation has p-deficiency less than or equal to one.
Cite
@article{arxiv.1306.2467,
title = {Positive rank gradient and p-largeness for groups defined by presentations with p-deficiency less than or equal to one},
author = {Mariano Zeron-Medina Laris},
journal= {arXiv preprint arXiv:1306.2467},
year = {2013}
}
Comments
14 pages