A criterion for HNN extensions of finite $p$-groups to be residually $p$

TL;DR

This paper establishes a specific criterion to determine when an HNN extension of a finite p-group retains the property of being residually p, aiding in understanding the structure of such groups.

Contribution

It provides a new criterion for residual p-ness in HNN extensions of finite p-groups, advancing the theory of group extensions.

Findings

Criterion for residual p in HNN extensions of finite p-groups

Conditions under which HNN extensions are residually p

Enhanced understanding of group extension properties

Abstract

We give a criterion for an HNN extension of a finite $p$-group to be residually $p$.