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.
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页码：379 / 396
页数：18
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