On the index of power compositional polynomials

Sumandeep Kaur, Surender Kumar, László Remete

The index of a monic irreducible polynomial $f(x)\in \mathbb{Z}[x]$ having a root $\hat{I}¸$ is the index $[{\mathbb{Z}}_K:\mathbb{Z}[\hat{I}¸]]$, where ${\mathbb{Z}}_K$ is the ring of algebraic in…