Let m be a square-free integer, m≡2,3\pmod4. We show that the number field
K=Q(i,\sqrt4m) is non-monogene, that is, it does not admit any power integral bases of type …

We consider infinite parametric families of high degree number fields composed of quadratic
fields with pure cubic, pure quartic, pure sextic fields and with the so called simplest cubic …

Determining whether a number field admits a power integral basis is a classical problem in
algebraic number theory. It is well known that every quadratic number field is monogenic …