Semisimple Metacyclic Group Algebras

Proceedings Mathematical Sciences

Shalini Gupta³  Inder Bir S Passi¹  Gurmeet K Bakshi² 

[1] $$;Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 0 0, India$$;Indian Institute of Science Education and Research, Mohali, MGSIPA Complex, Sector , Chandigarh 0 0, India$$

关键词: Semisimple group algebra;    primitive central idempotents;    Wedderburn decomposition;    automorphism group.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Given a group 𝐺 of order $p_1p_2$, where $p_1,p_2$ are primes, and $mathbb{F}_q$, a finite field of order 𝑞 coprime to $p_1p_2$, the object of this paper is to compute a complete set of primitive central idempotents of the semisimple group algebra $mathbb{F}_q[G]$. As a consequence, we obtain the structure of $mathbb{F}_q[G]$ and its group of automorphisms.

【 授权许可】

Unknown