A $\Lambda_p$-property for Separated Branches of Hyperbolic Groups

TL;DR

This paper demonstrates that certain separated branches within hyperbolic groups possess the $\Lambda_p$ property, contributing to the understanding of their geometric and algebraic structure.

Contribution

It establishes the $\Lambda_p$ property for $\delta$-separated branches of hyperbolic groups, a novel result in geometric group theory.

Findings

Separated branches have the $\Lambda_p$ property

Provides new insights into hyperbolic group structure

Advances understanding of geometric properties of hyperbolic groups

Abstract

We show that $\delta$-separated branches of hyperbolic groups have the so-called $\Lambda_p$ property.