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A Note on Discrete Groups

2012/05/05 by S. O. Juriaans, Stanley O. Juriaans, Severino C. Lima Neto +4
Computer Science · Mathematics · #20H10 #30F40 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Number Theory (math.NT) #Rings and Algebras (math.RA) #math.GR #math.NT #math.RA #msc:20H10 #msc:30F40 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1205.1129

arxiv created 2012/05/05 · openalex publication_date 2012/05/05 · arxiv updated 2012/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a group has a DF domain if and only if has a Double Dirichlet domain. We give a good describtion of the side-paring transformation of such groups. In particular, those not fixing infinity have a common eigenvector. We also give other results on Kleinian and Fuchsian groups.

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