Group algebras of metacyclic groups over finite fields

Assuena S.Milies C.P.2019-08-172019-08-172017ASSUENA, SAMIR; MILIES, CÉSAR POLCINO. Group algebras of metacyclic groups over finite fields. SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 11, n. 1, p. 46-52, 2017.2316-9028https://repositorio.fei.edu.br/handle/FEI/878© 2016, Instituto de Matemática e Estatística da Universidade de São Paulo.In this paper, we consider semisimple group algebras FqG of non abelian split metacyclic groups over a finite field. We give conditions for them to have a minimal number of simple components and find the primitive central idempotents of FqG in the case when the order G is equals pmℓn, where p and ℓ are different prime numbers.Acesso AbertoGroup algebras of metacyclic groups over finite fieldsArtigo10.1007/s40863-016-0043-7Finite groupsPrimitive idempotentsSemisimple group algebrasSplit metacyclic groups