Quotients of trees for arithmetic subgroups of PGL2 over a rational function field

2014/01/21 by Ralf Köhl, Köhl, Ralf, Bernhard Mühlherr +3
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR

paper · pdf · doi:10.48550/arxiv.1401.5379

arxiv created 2014/01/21 · openalex publication_date 2014/01/21 · arxiv updated 2014/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we compute the fundamental domain of the action on the corresponding Bruhat-Tits tree of the arithmetic subgroup of PGL2 with respect to an arbitrary place of the rational function field.

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