The Index of Composition of polynomials and its applications

Surender Kumar, Sumandeep Kaur

The index of a given monic irreducible polynomial $f(x)\in \mathbb{Z}[x]$ having a root $\theta$ is the index of $\mathbb{Z}[\theta ]$ in the ring of algebraic integers of $\mathbb{Q}(\theta ).$ Furthe…