On generators of arithmetic groups over function fields

Details On generators of arithmetic groups over function fields On generators of arithmetic groups over function fields

2010-06-16

arxiv.org/abs/1006.3279v1

Mathematics

Number Theory

13 pages

Scientific paper

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

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