Research Article

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

Published in: Quaestiones Mathematicae
Volume 47 , issue 9 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 1863–1885
DOI: 10.2989/16073606.2024.2344035
Author(s): Àngel García-Blázquez Universidad de Murcia, Spain, Ángel del Río Universidad 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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