Open normal subgroups in normally constrained pro-$p$ groups

In this paper we analyse properties satisfied by certain open normal subgroups in normally constrained pro-‎$‎p‎$ groups and in a spread version of normally constrained pro-‎$‎p‎$‎ groups‎. ‎In the case of powerful normally constrained pro-‎$‎p‎$ groups‎, ‎we exhibit some kind of inheritance properties in certain open normal subgroups‎.

Keywords:

‎pro-‎$‎p‎$ groups‎ , ‎open (closed) normal subgroups‎ , ‎waist‎ , ‎width‎ , ‎powerful