Semisimple metacyclic group algebras

Bakshi, Gurmeet K. ; Gupta, Shalini ; Passi, Inder Bir S. (2011) Semisimple metacyclic group algebras Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 121 (4). pp. 379-396. ISSN 0253-4142

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Official URL: http://ns1.ias.ac.in/mathsci/vol121/nov2011/pmsc-d...

Abstract

Given a group G of order p1 p2, where p1, p2 are primes, and Fq, a finite field of order q coprime to p1 p2, the object of this paper is to compute a complete set of primitive central idempotents of the semisimple group algebra Fq [G]. As a consequence, we obtain the structure of Fq [G] and its group of automorphisms.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Semisimple Group Algebra; Primitive Central Idempotents; Wedderburn Decomposition; Automorphism Group
ID Code:87299
Deposited On:17 Mar 2012 12:39
Last Modified:19 May 2016 02:41

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