A Study of monogenity of Binomial Composition

Anuj Jakhar, Ravi Kalwaniya, Prabhakar Yadav

Let $\theta$ be a root of a monic polynomial $h(x)\in \mathbb{Z}[x]$ of degree $n\ge 2$. We say $h(x)$ is monogenic if it is irreducible over $\Q$ and $\{1,\theta ,{\theta }^2,\dots ,{\theta }^{n-1}\}$ is a…