Conjugacy limits of certain subgroups in $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$

TL;DR

This paper investigates the conjugacy limits of specific subgroups within the semidirect product of SL(2,R) and R^2, revealing their conjugacy relationships and structural properties.

Contribution

It characterizes the conjugacy limits of certain subgroups in SL(2,R)⋉R^2, highlighting their conjugacy classes and structural features.

Findings

Identification of conjugacy limits for specific subgroups

Classification of subgroups into conjugacy categories

Structural insights into subgroup relationships

Abstract

We study conjugacy limits of certain of subgroups inside $\SL(2,\R)\ltimes\R^2$. These subgroups have a common feature that any two in the same category are conjugates of each other.