Classification of complex hyperbolic triangle groups by types
Yuhan Wang

TL;DR
This paper provides a comprehensive classification of complex hyperbolic triangle groups based on the ellipticity of specific words, advancing the understanding of their structure and confirming aspects of the Schwartz conjecture.
Contribution
It offers a complete classification of complex hyperbolic triangle groups by types, refining previous results and building on the proof of the Schwartz conjecture.
Findings
Classification of groups by ellipticity of key words
Improvement over previous partial classifications
Confirmation of the Schwartz conjecture aspects
Abstract
We give a complete classification of complex hyperbolic -triangle groups by types defined according to the ellipticity of two particular words of short length. This improves the Schwartz conjecture proved by Grossi.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics
