Many Examples of Non-cocompact Fuchsian Groups Sitting in PSL(2,Q)

2012/09/28 by Mark Norfleet, Norfleet, Mark
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #math.GT #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1209.6616

arxiv created 2012/09/28 · openalex publication_date 2012/09/28 · arxiv updated 2012/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct infinitely many noncommensurable non-cocompact Fuchsian groups Δ of finite covolume sitting in PSL(2,Q) so that the set of hyperbolic fixed points of Δ will contain a given finite collection of elements in the boundary of the hyperbolic plane.

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