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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Finitely generated groups (mod $ p$)


Author: M. Ram Murty
Journal: Proc. Amer. Math. Soc. 122 (1994), 37-45
MSC: Primary 11N69; Secondary 11N36, 11R47
DOI: https://doi.org/10.1090/S0002-9939-1994-1195485-7
MathSciNet review: 1195485
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Abstract: Given r mutually coprime natural numbers $ {a_1}, \ldots ,{a_r}$ greater than 1 and an irreducible polynomial $ f(t)$ with integer coefficients, we investigate how the structure of the group generated by $ {a_1}, \ldots ,{a_r} \bmod p$ varies as the prime p varies subject to the condition that $ f(t)$ splits completely $ \bmod\;p$.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1195485-7
Article copyright: © Copyright 1994 American Mathematical Society