The isomorphism problem for rational group algebras of finite metacyclic groups
Group Theory
2025-02-20 v3 Rings and Algebras
Abstract
We prove that if two finite metacyclic groups have isomorphic rational group algebras, then they are isomorphic. This contributes to understand where is the line separating positive and negative solutions to the Isomorphism Problem for group algebras.
Cite
@article{arxiv.2308.00432,
title = {The isomorphism problem for rational group algebras of finite metacyclic groups},
author = {Ángel del Río and Àngel García-Blázquez},
journal= {arXiv preprint arXiv:2308.00432},
year = {2025}
}
Comments
29 pages. Improved version