Identifying Frobenius elements in Galois groups

Nearly Rational Frobenius Groups

In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.

Commuting Elements in Galois Groups of Function Fields

— We study the structure of abelian subgroups of Galois groups of function fields.

Minimal Discriminants for Fields with Small Frobenius Groups as Galois Groups

The Frobenius formalism in Galois quantum systems

Quantum systems in which the position and momentum take values in the ring Zd and which are described with d-dimensional Hilbert space, are considered. When d is the power of a prime, the position and momentum take values in the Galois field GF (p), the position-momentum phase space is a finite geometry and the corresponding ‘Galois quantum systems’ have stronger properties. The study of these ...

Inertia elements versus Frobenius elements

Theorem (Generalized Dirichlet Density). Let f : Y → X be a generically finite and Galois morphism of integral separated schemes of finite type over Z. Let K and L denote the function fields of X, respectively Y , and let G := Gal(L|K) be the group of (rational) automorphisms of Y over X. Then the following hold: 1) There exists an open sub-scheme U ⊂ X such that f is étale above U , and if V =...