Virtually free pro-p groups whose torsion elements have finite centralizer

TL;DR

This paper characterizes finitely generated virtually free pro-p groups with finite torsion element centralizers as free pro-p products of finite p-groups and free pro-p groups.

Contribution

It provides a structural classification of such pro-p groups, showing they are decomposable into free pro-p products of finite p-groups and free pro-p factors.

Findings

Groups are free pro-p products of finite p-groups and free pro-p groups.

Finite centralizers of torsion elements imply a specific free product structure.

Classification aids in understanding the structure of virtually free pro-p groups.

Abstract

A finitely generated virtually free pro-p group with finite centralizers of its torsion elements is the free pro-p product of finite p-groups and a free pro-p factor.