English

The isomorphism problem for rational group algebras of finite metacyclic nilpotent groups

Group Theory 2023-06-23 v2 Rings and Algebras Representation Theory

Abstract

We prove that if GG and HH are finite metacyclic groups with isomorphic rational group algebras and one of them is nilpotent then GG and HH are isomorphic.

Keywords

Cite

@article{arxiv.2301.09463,
  title  = {The isomorphism problem for rational group algebras of finite metacyclic nilpotent groups},
  author = {Àngel García-Blázquez and Ángel del Río},
  journal= {arXiv preprint arXiv:2301.09463},
  year   = {2023}
}

Comments

16 pages. Some typos fixed