Residually Torsion-Free Nilpotent One Relator Groups

TL;DR

This paper demonstrates that specific cyclically pinched one-relator groups possess the property of being residually torsion-free nilpotent, contributing to the understanding of their algebraic structure.

Contribution

It introduces new classes of one-relator groups that are residually torsion-free nilpotent, expanding the known examples in group theory.

Findings

Certain cyclically pinched one-relator groups are residually torsion-free nilpotent

Provides conditions under which these groups have this property

Enhances understanding of the structure of one-relator groups

Abstract

We show that certain cyclically pinched one-relator groups are residually torsion-free nilpotent.