Invariable generation of certain groups of piecewise linear homeomorphisms of the interval

TL;DR

This paper demonstrates that specific groups of piecewise linear homeomorphisms of the interval are invariably generated, contributing to the understanding of their algebraic structure.

Contribution

It introduces the concept of invariable generation for certain groups of piecewise linear homeomorphisms, a novel property in this context.

Findings

Certain groups are shown to be invariably generated

Provides new insights into the algebraic structure of these groups

Advances understanding of group generation properties

Abstract

We show that certain groups of piecewise linear homeomorphims of the interval are invariably generated.