Isomorphism of group algebras of metacyclic groups over the field of rational numbers
Year: 2025
Type: article
Abstract: 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.
Source: Journal of Algebra
Authors: Nako Nachev, Yordan Epitropov
Institution: Plovdiv University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,310
OpenAlex ID: W4410630170