English

On generators of arithmetic groups over function fields

Number Theory 2010-06-17 v1

Abstract

Let F=Fq(T)F=\mathbb{F}_q(T) be the field of rational functions with Fq\mathbb{F}_q-coefficients, and A=Fq[T]A=\mathbb{F}_q[T] be the subring of polynomials. Let DD be a division quaternion algebra over FF which is split at 1/T1/T. Given an AA-order Λ\Lambda in DD, we find an explicit finite set generating Λ×\Lambda^\times.

Keywords

Cite

@article{arxiv.1006.3279,
  title  = {On generators of arithmetic groups over function fields},
  author = {Mihran Papikian},
  journal= {arXiv preprint arXiv:1006.3279},
  year   = {2010}
}

Comments

13 pages

R2 v1 2026-06-21T15:37:16.987Z