Research Article

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

Published in: Quaestiones Mathematicae
Volume 47 , issue 9, pages: 1863–1885

DOI: 10.2989/16073606.2024.2344035

Author(s): Àngel García-BlázquezUniversidad de Murcia, Spain, Ángel del RíoUniversidad de Murcia, Spain,

Keywords: 16S34, 20C05, 20C10, Group rings, isomorphism problem,

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Abstract

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

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Research Article

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

Abstract

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