Revisiting fully residually free Demushkin groups

TL;DR

This paper explores the structure of Demushkin groups, providing new examples and counterexamples of pro-p limit groups within this class, which are special pro-p Poincaré duality groups of dimension 2.

Contribution

It introduces new examples and non-examples of pro-p limit groups among Demushkin groups, enhancing understanding of their structure and properties.

Findings

Identified new pro-p limit groups within Demushkin groups

Provided counterexamples to existing assumptions about Demushkin groups

Expanded the classification of pro-p Poincaré duality groups

Abstract

We establish new examples and non-examples of pro-p limit groups among the class of Demushkin groups, that is, pro-p Poincar\'e duality groups of dimension 2.