On the Burde--de Rham theorem for finitely presented pro-$p$ groups
Geometric Topology
2024-12-11 v2 Number Theory
Abstract
We consider the Burde--de Rham theorem for finitely presented pro- groups under the assumption that the total degrees of all relators are . We also give some concrete examples including higher-dimensional cases under Iwasawa theoretic conditions, and consider some cohomological interpretations.
Cite
@article{arxiv.2408.01270,
title = {On the Burde--de Rham theorem for finitely presented pro-$p$ groups},
author = {Yasushi Mizusawa and Ryoto Tange and Yuji Terashima},
journal= {arXiv preprint arXiv:2408.01270},
year = {2024}
}
Comments
20 pages, to appear in Int. Math. Res. Not. IMRN