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arXiv · 2210.07226

Wedderburn Decomposition and Idempotents of some finite metacyclic group algebras

F. E. Brochero Martínez·L. Batista de Oliveira·C. R. Giraldo Vergara
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Abstract

In this article, we show explicitly the Wedderburn decomposition of the metacyclic group algebra $\mathbb F_qG$, where $G$ has a cyclic subgroup of index 2 and $\gcd(|G|,q)=1$. We also construct the complete set of central and left idempotents of these group algebras.

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F. E. Brochero Martínez, L. Batista de Oliveira, C. R. Giraldo Vergara. 2022-10-13. Wedderburn Decomposition and Idempotents of some finite metacyclic group algebras. https://arxiv.org/abs/2210.07226

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