We study the inverse problem of the determination of a group algebra from the knowledge of its Wedderburn decomposition. We show that a certain class of matrix rings always occur as summands of finite group algebras.

中文翻译：

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有限群代数的和

我们从Wedderburn分解的知识中研究确定组代数的逆问题。我们表明，一类特定的矩阵环总是作为有限群代数的和出现。