On $p$-deficiency in groups
Group Theory
2016-11-22 v2
Abstract
Recently, Schlage-Puchta proved super multiplicity of -deficiency for normal subgroups of -power index. We extend this result to all normal subgroups of finite index. We then use the methods of the proof to show that some groups with non-positive -deficiency have virtually positive -deficiency. We also compute the -deficiency in some cases such as Fuchsian groups and study related invariants: the lower and upper absolute -homology gradients and the -Euler characteristic.
Keywords
Cite
@article{arxiv.1106.3255,
title = {On $p$-deficiency in groups},
author = {Yiftach Barnea and Jan-Christoph Schlage-Puchta},
journal= {arXiv preprint arXiv:1106.3255},
year = {2016}
}
Comments
The abstract and introduction were comletely rewritten. Further minor changes were made for the rest of the paper