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

(2015) JOURNAL OF GROUP THEORY. 18(1). p.61-74
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Abstract
In this note we determine the structure of the quotient of the Bruhat-Tits tree of the locally compact group PGL(2)(F-p) with respect to the natural action of its S-arithmetic subgroup PGL(2)(O-{p}), where F is a rational function field over a finite field and p is a place of F.

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Chicago
Köhl, Ralf, Bernhard Mühlherr, and Koen Struyve. 2015. “Quotients of Trees for Arithmetic Subgroups of PGL₂ over a Rational Function Field.” Journal of Group Theory 18 (1): 61–74.
APA
Köhl, R., Mühlherr, B., & Struyve, K. (2015). Quotients of trees for arithmetic subgroups of PGL₂ over a rational function field. JOURNAL OF GROUP THEORY, 18(1), 61–74.
Vancouver
1.
Köhl R, Mühlherr B, Struyve K. Quotients of trees for arithmetic subgroups of PGL₂ over a rational function field. JOURNAL OF GROUP THEORY. 2015;18(1):61–74.
MLA
Köhl, Ralf, Bernhard Mühlherr, and Koen Struyve. “Quotients of Trees for Arithmetic Subgroups of PGL₂ over a Rational Function Field.” JOURNAL OF GROUP THEORY 18.1 (2015): 61–74. Print.
@article{6867350,
  abstract     = {In this note we determine the structure of the quotient of the Bruhat-Tits tree of the locally compact group PGL(2)(F-p) with respect to the natural action of its S-arithmetic subgroup PGL(2)(O-{p}), where F is a rational function field over a finite field and p is a place of F.},
  author       = {Köhl, Ralf and Mühlherr, Bernhard and Struyve, Koen},
  issn         = {1433-5883},
  journal      = {JOURNAL OF GROUP THEORY},
  language     = {eng},
  number       = {1},
  pages        = {61--74},
  title        = {Quotients of trees for arithmetic subgroups of PGL₂ over a rational function field},
  url          = {http://dx.doi.org/10.1515/jgth-2014-0026},
  volume       = {18},
  year         = {2015},
}

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