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arXiv · 1404.6009

Explicit idempotents of finite group algebras

F. E. Brochero Martínez·C. R. Giraldo Vergara
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Abstract

Let $\mathbb F_q$ be a finite field with $q$ elements, $G$ a finite cyclic group of order $p^k$ and $p$ is an odd prime with ${\rm gcd}(q,p)=1$. In this article, we determine an explicit expression for the primitive idempotents of $\mathbb F_qG$. This result extends the result in Arora-Pruthi [1] and Sharma-Bakshi-Dumir-Raka [8].

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F. E. Brochero Martínez, C. R. Giraldo Vergara. 2014-04-24. Explicit idempotents of finite group algebras. https://doi.org/10.1016/j.ffa.2014.02.002

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