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Finitely Generated Groups (mod p)

M. Ram Murty
Proceedings of the American Mathematical Society
Vol. 122, No. 1 (Sep., 1994), pp. 37-45
DOI: 10.2307/2160838
Stable URL: http://www.jstor.org/stable/2160838
Page Count: 9
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Finitely Generated Groups (mod p)
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Abstract

Given r mutually coprime natural numbers a1, ..., ar greater than 1 and an irreducible polynomial f(t) with integer coefficients, we investigate how the structure of the group generated by a1,⋯, ar mod p varies as the prime p varies subject to the condition that f(t) splits completely mod p.

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