Group algebras of metacyclic groups over finite fields

被引：0

作者：

Assuena S. ^{[1
]}

Milies C.P. ^{[2
]}

机构：

[1] Centro Universitário da FEI, Av. Humberto de Alencar Castelo Branco 3972, São Bernardo do Campo, CEP: 09850-901, SP

[2] Instituto de Matemática e Estatística-USP, Rua Matão 1010, Caixa Postal 66281, São Paulo, CEP: 05311-970, SP

来源：

São Paulo Journal of Mathematical Sciences | 2017年 / 11卷 / 1期

关键词：

Finite groups; Primitive idempotents; Semisimple group algebras; Split metacyclic groups;

D O I：

10.1007/s40863-016-0043-7

中图分类号：

学科分类号：

摘要：

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. © 2016, Instituto de Matemática e Estatística da Universidade de São Paulo.

引用

页码：46 / 52

页数：6

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