Abstract
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.
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References
C. Polcino Milies, S. K. Sehgal: An Introduction to Group Rings. Algebras and Applications 1. Kluwer Academic Publishers, Dordrecht, 2002.
J.-P. Serre: Linear Representations of Finite Groups. Graduate Texts in Mathematics 42. Springer, New York, 1977.
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Dietzel, C., Mittal, G. Summands of finite group algebras. Czech Math J 71, 1011–1014 (2021). https://doi.org/10.21136/CMJ.2020.0171-20
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DOI: https://doi.org/10.21136/CMJ.2020.0171-20