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arXiv · 2609.07644

Wedderburn decomposition of Twisted skew abelian group algebra

Alvaro Otero Sanchez
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Abstract

We compute the Wedderburn decomposition of a finite twisted skew group algebra over a finite abelian group $G$ and a finite field $K$. To do so, we prove that this twisted skew group algebra is a homomorphic image of a finite group algebra. We then characterise its Shoda pairs, as well as propose an algorithm for computing a complete set of them.

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Alvaro Otero Sanchez. 2026-09-07. Wedderburn decomposition of Twisted skew abelian group algebra. https://arxiv.org/abs/2609.07644

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