Questions tagged [primitive-roots]

For questions related to primitive roots, the generators of the multiplicative group of integers modulo n.

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Do there exist general conditions for cyclicity of unit groups of quotient rings (generalizations of the primitive root theorem)?

Let $R$ by a commutative ring with $1$, and $I \subset R$ a non-zero integral ideal in $R$. When $R$ has finite quotients, and $I = P$ is prime in $R$, the group of units $(R/P)^{\times}$ of the ...
Daniel Santiago's user avatar
1 vote
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A question related to Artin's Conjecture

I have the following question: Given an integer $n \ge 1 $ which is not a square, does there exist a prime number $p$ for which $n$ is a primitive root modulo $p?$ It is easy to see that if $n$ is a ...
Asem Abdelraouf's user avatar