On $G$-character tables for normal subgroups
Group Theory
2024-09-19 v1
Abstract
Let be a normal subgroup of a finite group . From a result due to Brauer, it can be derived that the character table of contains square submatrices which are induced by the -conjugacy classes of elements in and the -orbits of irreducible characters of . In the present paper, we provide an alternative approach to this fact through the structure of the group algebra. We also show that such matrices are non-singular and become a useful tool to obtain information of from the character table of .
Cite
@article{arxiv.2409.11591,
title = {On $G$-character tables for normal subgroups},
author = {María José Felipe and María Dolores Pérez-Ramos and Víctor Sotomayor},
journal= {arXiv preprint arXiv:2409.11591},
year = {2024}
}