Finiteness of arithmetic hyperbolic reflection groups
Ian Agol, Mikhail Belolipetsky, Peter Storm, Kevin Whyte
TL;DR
This paper proves that only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups exist, establishing a significant finiteness result in hyperbolic geometry and group theory.
Contribution
It establishes the first finiteness theorem for conjugacy classes of arithmetic maximal hyperbolic reflection groups.
Findings
Finiteness of conjugacy classes of these groups
Implications for classification of hyperbolic reflection groups
Advances understanding of arithmetic hyperbolic geometry
Abstract
We prove that there are only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Algebra and Geometry