Work

Kernels of minimal characters of solvable groups

Year: 2024

Type: article

Abstract: Let G be a finite solvable group. We prove that if $\chi\in{{\operatorname{Irr}}}(G)$ has odd degree and $\chi(1)$ is the minimal degree of the nonlinear irreducible characters of G, then $G/\operatorname{Ker}\chi$ is nilpotent-by-abelian.

Source: Proceedings of the Edinburgh Mathematical Society

DOI: 10.1017/s0013091524000427

Author: Alexander Moretó

Institution: Universitat de València

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funders: Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación

Awards: G1812242732, G1855990336, G2262748287, G3480869486, G3690828678, G425668148, G5421974903, G729596528, G8684520763

OpenAlex ID: W4404117401

FWCI:

Cites: 8

Cited by:

Related to: 10