On generalized Schur groups
Group Theory
2022-09-13 v3 Combinatorics
Abstract
An -ring (Schur ring) is called central if it is contained in the center of the group ring. We introduce the notion of a generalized Schur group, i.e. such finite group that all central -rings over this group are schurian. It generalizes in a natural way the notion of a Schur group and they are equivalent for abelian groups. We establish basic properties and provide infinite families of nonabelian generalized Schur groups
Cite
@article{arxiv.2209.00289,
title = {On generalized Schur groups},
author = {Grigory Ryabov},
journal= {arXiv preprint arXiv:2209.00289},
year = {2022}
}
Comments
11 pages