Zassenhaus and lower central filtrations of pro-$p$ groups considered as modules

Abstract

The goal of this paper is to study Zassenhaus and lower central filtrations of finitely generated pro-$p$ groups in an isotypical context. We shall focus on the semisimple case. Particular attention is given for finitely presented groups of cohomological dimension less than or equal two.

arXiv comment27 pages, final version as it will appear in Journal of Algebra