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Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥ 3

B. Sury and T. N. Venkataramana
Proceedings of the American Mathematical Society
Vol. 122, No. 2 (Oct., 1994), pp. 355-358
DOI: 10.2307/2161024
Stable URL: http://www.jstor.org/stable/2161024
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥ 3
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Abstract

We show that there is a uniform bound for the numbers of generators for all principal congruence subgroups of SL(n, Z) for n ≥ 3. On the other hand, we show that the numbers are unbounded if we work with all arithmetic subgroups of SL(n, Z).

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