Bull. Korean Math. Soc. 2020; 57(6): 1491-1499
Online first article November 5, 2020 Printed November 30, 2020
https://doi.org/10.4134/BKMS.b200021
Copyright © The Korean Mathematical Society.
Sanghoon Kwon
Catholic Kwandong University
We give a strong fundamental domain for the quotient of $PGL_2\!\left(\mathbb{F}_q(\!(t^{-1})\!)\!\right)$ by $PGL_2\!\left(\mathbb{F}_q[t]\right)$ as a subset of distinct ordered triple points of $\mathbb{P}^1(\mathbb{F}_q(\!(t^{-1})\!))$.
Keywords: Fundamental domain, Bruhat-Tits tree
MSC numbers: Primary 37P20; Secondary 20G25, 20H20
Supported by: This research was funded by the National Research Foundation of Korea (NRF) grant funded by the Korea government 2019R1I1A3A01058926
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