Semisimple metacyclic group algebras

被引：10

作者：

Bakshi, Gurmeet K. ^{[1
]}

Gupta, Shalini ^{[2
]}

Passi, Inder Bir S. ^{[1
,2
]}

机构：

[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

[2] Indian Inst Sci Educ & Res, Sect 26, Chandigarh 160019, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2011年 / 121卷 / 04期

关键词：

Semisimple group algebra; primitive central idempotents; Wedderburn decomposition; automorphism group; RATIONAL GROUP-ALGEBRAS; CENTRAL IDEMPOTENTS; UNIT GROUP; AUTOMORPHISMS; CODES;

D O I：

10.1007/s12044-011-0045-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a group G of order p(1) p(2), where p(1), p(2) are primes, and F(q), a finite field of order q coprime to p(1) p(2), the object of this paper is to compute a complete set of primitive central idempotents of the semisimple group algebra IF(q)[G]. As a consequence, we obtain the structure of F(q) [G] and its group of automorphisms.

引用

页码：379 / 396

页数：18

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