On the type of triangle groups

TL;DR

This paper proves a conjecture regarding the classification of certain complex hyperbolic triangle groups, advancing understanding in geometric group theory.

Contribution

It confirms R. Schwartz's conjecture about the type of specific complex hyperbolic triangle groups, providing new insights into their structure.

Findings

Confirmed Schwartz's conjecture for specific triangle groups

Enhanced understanding of complex hyperbolic triangle group classification

Contributed to geometric group theory and complex hyperbolic geometry

Abstract

We prove a conjecture of R. Schwartz about the type of some complex hyperbolic triangle groups.