Asian Journal of Mathematics

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

Ritumoni Sarma

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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

Permanent link to this document
https://projecteuclid.org/euclid.ajm/1175789090

Mathematical Reviews number (MathSciNet)
MR2282362

Zentralblatt MATH identifier
1126.20031

Subjects
Primary: 20F05: Generators, relations, and presentations 11F06: Structure of modular groups and generalizations; arithmetic groups [See also 20H05, 20H10, 22E40]
Secondary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]

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

Citation

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


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