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http://dx.doi.org/10.4134/BKMS.b200021

A FUNDAMENTAL DOMAIN FOR PGL(2, 𝔽_q[t])\PGL(2, 𝔽_q((t^-1)))

Kwon, Sanghoon (Department of Mathematics Education Catholic Kwandong University)

Publication Information

Bulletin of the Korean Mathematical Society / v.57, no.6, 2020 , pp. 1491-1499 More about this Journal

Abstract

We give a strong fundamental domain for the quotient of PGL₂(𝔽_q((t^-1))) by PGL₂(𝔽_q[t]) as a subset of distinct ordered triple points of ℙ¹(𝔽_q((t^-1))).

Keywords

Fundamental domain; Bruhat-Tits tree;

Citations & Related Records

Reference

1	A. Broise-Alamichel, J. Parkkonen, and F. Paulin, Equidistribution and counting under equilibrium states in negative curvature and trees, Progress in Mathematics, 329, Birkhauser/Springer, Cham, 2019. https://doi.org/10.1007/978-3-030-18315-8 DOI
2	F. Bruhat and J. Tits, Groupes reductifs sur un corps local, Inst. Hautes Etudes Sci. Publ. Math. No. 41 (1972), 5-251. DOI
3	F. Paulin and U. Shapira, On continued fraction expansions of quadratic irrationals in positive characteristic, Groups Geom. Dyn. 14 (2020), no. 1, 81-105. https://doi.org/10.4171/ggd/535 DOI
4	J.-P. Serre, Trees, translated from the French original by John Stillwell, corrected 2nd printing of the 1980 English translation, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2003.

KSCI

A FUNDAMENTAL DOMAIN FOR PGL(2, 𝔽q[t])\PGL(2, 𝔽q((t-1)))

A FUNDAMENTAL DOMAIN FOR PGL(2, 𝔽_q[t])\PGL(2, 𝔽_q((t^-1)))