Asian Journal of Mathematics

Volume 10 (2006)

Number 4

On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}\sb 2$

Pages: 749 – 756

DOI: https://dx.doi.org/10.4310/AJM.2006.v10.n4.a7

Author

Ritumoni Sarma

Abstract

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

Keywords

S-integers, S-arithmetic, CM field, subgroup of finite index, virtual generators

2010 Mathematics Subject Classification

Primary 11F06, 20F05. Secondary 22E40.

Published 1 January 2006