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ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS
Keywords:
monogenity, power integral basis, binomial compositions, sextic fields, calculating the solutionsDOI:
https://doi.org/10.17654/0972555522026Abstract
Recently, there are several results on the monogenity of certain classes of polynomials and the number fields generated by a root of them. In addition to the frequently investigated binomials of type $x^n-m$, trinomials of type $x^n+a x^m+b$, Harrington and Jones [8] considered binomial compositions of type $f(g(x))$, where $f(x)=x^n-a$, $g(x)=x^m-b$
This is a completely new construction. In this paper, our purpose is to describe monogenity properties of a class of binomial compositions of degree six.
Received: April 28, 2022
Accepted: July 4, 2022
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