Open Access
December 2006 On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}_2$
Ritumoni Sarma
Asian J. Math. 10(4): 749-756 (December 2006).


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 $(S) \geq 2$.


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Ritumoni Sarma. "On virtual 3-generation of $S$-arithmetic subgroups of ${\rm SL}_2$." Asian J. Math. 10 (4) 749 - 756, December 2006.


Published: December 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1126.20031
MathSciNet: MR2282362

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

Vol.10 • No. 4 • December 2006
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