Isomorphism of group algebras of metacyclic groups over the field of rational numbers
Let G be a metacyclic group, H be an arbitrary group and Q be the field of rational numbers. In this paper, it is proved that the group algebras Q G and Q H are isomorphic over Q if and only if G and H are isomorphic. In order to solve this problem, a necessary and sufficient condition for isomorphism of metacyclic groups is derived.
Authors
- Yordan Epitropov (ORCID: https://orcid.org/0000-0001-8151-7498)
- Nako A. Nachev
Institutions
- Plovdiv University (BG)
Publication Details
- Journal
- Journal of Algebra
- Published
- 2025-05-23
- DOI
- https://doi.org/10.1016/j.jalgebra.2025.04.040
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00