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 $(S) \geq 2$.
Citation
Ritumoni Sarma. "On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}_2$." Asian J. Math. 10 (4) 749 - 756, December 2006.
Information
Published: December 2006
First available in Project Euclid: 5 April 2007
zbMATH: 1126.20031
MathSciNet: MR2282362
Subjects:
Primary:
11F06
,
20F05
Secondary:
22E40
Keywords:
CM field
,
S-arithmetic
,
S-integers
,
subgroup of finite index
,
virtual generators
Rights: Copyright © 2006 International Press of Boston
