Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

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

  • Kwon, Sanghoon (Department of Mathematics Education Catholic Kwandong University)
  • Received : 2020.01.07
  • Accepted : 2020.09.15
  • Published : 2020.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

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

Keywords

Acknowledgement

This research was funded by the National Research Foundation of Korea (NRF) grant funded by the Korea government 2019R1I1A3A01058926.

References

  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
  2. F. Bruhat and J. Tits, Groupes reductifs sur un corps local, Inst. Hautes Etudes Sci. Publ. Math. No. 41 (1972), 5-251. https://doi.org/10.1007/BF02715544
  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
  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.