Year: 2025
Type: article
Abstract: Let G be a finite group and, for a given complex character χ of G, let Q(χ) denote the field extension of Q obtained by adjoining all the values χ(g), for g∈G. The group G is called quadratic rational if, for every irreducible complex character χ∈Irr(G), the field Q(χ) is an extension of Q of degree at most 2. Quadratic rational groups generalize the well-known concept of a cut group. In this paper we classify the Frobenius groups that are quadratic rational.
Source: Communications in Algebra
Authors: Emanuele Pacifici, Marco Vergani
Institution: University of Florence
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4413966272