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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161024
Page Count: 4
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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).
Proceedings of the American Mathematical Society © 1994 American Mathematical Society