Locally pro-p contraction groups are nilpotent
Group Theory
2020-08-11 v2
Abstract
The authors have shown previously that every locally pro-p contraction group decomposes into the direct product of a p-adic analytic factor and a torsion factor. It has long been known that p-adic analytic contraction groups are nilpotent. We show here that the torsion factor is nilpotent too, and hence that every locally pro-p contraction group is nilpotent.
Keywords
Cite
@article{arxiv.2006.10999,
title = {Locally pro-p contraction groups are nilpotent},
author = {Helge Glockner and George A. Willis},
journal= {arXiv preprint arXiv:2006.10999},
year = {2020}
}
Comments
24 pages, LaTeX