Subgroups of R. Thompson's Group F that are Isomorphic to F

TL;DR

This paper investigates conditions under which pairs of elements in R. Thompson's Group F correspond to images of standard generators under self monomorphisms, shedding light on subgroup structures.

Contribution

It characterizes when pairs of elements in F are images of standard generators via self monomorphisms, revealing new subgroup isomorphism conditions.

Findings

Identifies specific conditions for subgroup isomorphisms

Provides criteria for elements to be images of generators

Enhances understanding of subgroup structures in F

Abstract

This paper studies when a pair of elements in F are the images of the standard generators of F under a self monomorphism.