Arbitrary p-Gradient Values
Group Theory
2013-01-22 v2
Abstract
For any prime number p and any positive real number {\alpha}, we construct a finitely generated group {\Gamma} with p-gradient equal to {\alpha}. This construction is used to show that there exist uncountably many pairwise non-commensurable groups that are finitely generated, infinite, torsion, non-amenable, and residually-p.
Keywords
Cite
@article{arxiv.1207.4650,
title = {Arbitrary p-Gradient Values},
author = {Nathaniel Pappas},
journal= {arXiv preprint arXiv:1207.4650},
year = {2013}
}
Comments
20 pages