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Article

Dietzel, Carsten ; Mittal, Gaurav
Summands of finite group algebras. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1011-1014
MSC: 20C05 | MR 4339106 | Zbl 07442469 | DOI: 10.21136/CMJ.2020.0171-20
Keywords:
Wedderburn decomposition; group algebra
Summary:
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.
References:
[1] Milies, C. Polcino, Sehgal, S. K.: An Introduction to Group Rings. Algebras and Applications 1. Kluwer Academic Publishers, Dordrecht (2002). MR 1896125 | Zbl 0997.20003
[2] Serre, J.-P.: Linear Representations of Finite Groups. Graduate Texts in Mathematics 42. Springer, New York (1977). DOI 10.1007/978-1-4684-9458-7 | MR 0450380 | Zbl 0355.20006
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