## Asian Journal of Mathematics

### On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}_2$

Ritumoni Sarma

#### Abstract

For a number field $K$, we show that any $S$-arithmetic subgroup of $SL_2(K)$ contains a subgroup of finite index generated by three elements if card $(S) \geq 2$.

#### Article information

Source
Asian J. Math., Volume 10, Number 4 (2006), 749-756.

Dates
First available in Project Euclid: 5 April 2007

Sarma, Ritumoni. On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}_2$. Asian J. Math. 10 (2006), no. 4, 749--756. https://projecteuclid.org/euclid.ajm/1175789090