Corrigendum to "Graphs of hyperbolic groups and a limit set intersection theorem"

TL;DR

This paper corrects a mistake in a previous work on hyperbolic groups, providing a weaker but valid version of the main theorem concerning limit set intersections.

Contribution

It identifies an error in the original proof and establishes a corrected, weaker theorem related to graphs of hyperbolic groups and their limit sets.

Findings

Original theorem's proof was flawed

A weaker, valid theorem is now established

Implications for hyperbolic group theory are clarified

Abstract

The purpose of this article is to point out a mistake in the published paper "Graphs of hyperbolic groups and limit set intersection theorem- Proc AMS, vol 146, no 5, pp 1859--1871, which subsequently weakens the main theorem of that paper. We state and prove a weaker result in this note.