A reduction theorem for the isomorphism problem of group algebras over fields
Representation Theory
2023-07-11 v2 Rings and Algebras
Abstract
We prove that the isomorphism problem for group algebras reduces to group algebras over finite extensions of the prime field. In particular, the modular isomorphism problem reduces to finite modular group algebras.
Cite
@article{arxiv.2305.09355,
title = {A reduction theorem for the isomorphism problem of group algebras over fields},
author = {Diego García-Lucas and Ángel del Río},
journal= {arXiv preprint arXiv:2305.09355},
year = {2023}
}
Comments
5 pages, minor revision