$p$-adic non-commutative analytic subgroup theorem

TL;DR

This paper establishes a $p$-adic analogue of a recent non-commutative analytic subgroup theorem, extending the understanding of subgroup structures in $p$-adic analytic groups.

Contribution

It formulates and proves the first $p$-adic non-commutative analytic subgroup theorem, filling a gap in $p$-adic group theory.

Findings

Proves the $p$-adic non-commutative analytic subgroup theorem

Extends the theory of analytic subgroups to the $p$-adic non-commutative setting

Provides a foundation for further research in $p$-adic non-commutative analysis

Abstract

In this paper, we formulate and prove the so-called $p$-adic non-commutative analytic subgroup theorem. This result is seen as the $p$-adic analogue of a recent theorem given by Yafaev.