Non-isomorphic 2-groups with isomorphic modular group algebras
Rings and Algebras
2021-12-16 v3 Group Theory
Abstract
We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.
Cite
@article{arxiv.2106.07231,
title = {Non-isomorphic 2-groups with isomorphic modular group algebras},
author = {Diego García and Leo Margolis and Ángel del Río},
journal= {arXiv preprint arXiv:2106.07231},
year = {2021}
}
Comments
5 pages