Second Countable Virtually Free Pro-p Groups whose Torsion Elements have Finite Centralizer

TL;DR

This paper characterizes second countable virtually free pro-p groups with torsion elements having finite centralizer as free pro-p products of finite p-groups and a free pro-p factor.

Contribution

It provides a structural classification of a specific class of pro-p groups based on torsion element properties.

Findings

Such groups are free pro-p products of finite p-groups and a free pro-p factor.

Torsion elements in these groups have finite centralizers.

The classification aids understanding of the structure of virtually free pro-p groups.

Abstract

A second countable virtually free pro-p group all of whose torsion elements have finite centralizer is the free pro-p product of finite p-groups and a free pro-p factor.