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

Abstract

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