Monogenity is a classical area of algebraic number theory that continues to be actively
researched. This paper collects the results obtained over the past few years in this area …

Let K= Q (α) be a number field generated by a complex root α of a monic irreducible
trinomial F (x)= x 6+ ax 3+ b∈ Z [x]. There are extensive literature of monogenity of number …

Let K= Q (α) be a number field generated by a complex root α of a monic irreducible
trinomial F (x)= x 5+ ax 2+ b∈ Z [x]. In this paper, for every prime integer p, we give …

The main goal of this paper is to provide a complete answer to the Problem 22 of Narkiewicz
for any sextic number field K generated by a root of a monic irreducible trinomial F (x)= x 6+ …

Let $ K=\mathbb {Q}(\theta) $ be a number field generated by a complex root $\theta $ of a
monic irreducible trinomial $ F (x)= x^ n+ ax+ b\in\mathbb {Z}[x] $. There is an extensive …

Let K= ℚ (𝜃) be a number field generated by a complex root 𝜃 of a monic irreducible
trinomial F (x)= xn+ axm+ b∈ ℤ [x]. In this paper, we deal with the problem of the …

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

For every number field and every Cartan Killing type, there is an associated split simple
algebraic group. We examine whether the corresponding arithmetic subgroups are …

In this paper, we study the monogenity of any number field defined by a monic irreducible
trinomial F (x)= x 12+ axm+ b∈ Z [x] with 1≤ m≤ 11 an integer. For every integer m, we give …

Let K= Q (α) be a pure number field generated by a complex root α of a monic irreducible
polynomial..., with m≠±1 a square free rational integer, u, and v two positive integers. In this …