Conciseness of compact $R$-analytic groups

TL;DR

This paper proves that in the class of compact R-analytic groups, every word exhibits strong conciseness, contributing to the understanding of the algebraic structure of these groups.

Contribution

It establishes that all words are strongly concise within compact R-analytic groups, a novel result in the study of these algebraic structures.

Findings

Every word is strongly concise in compact R-analytic groups

Advances understanding of algebraic properties of these groups

Provides a foundation for further research in group theory

Abstract

We prove that every word is strongly concise in the class of compact $R$-analytic groups.