Geodesic
A short note on the Wedderburn components of a semisimple finite group algebra
Serdica Mathematical Journal, Tome 49 (2023) no. 4, pp. 241-250.

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One of the classical problems in the subject of group algebras is that of deducing Wedderburn decomposition of a finite semisimple group algebra. In this short note, we discuss how to check whether a matrix ring over a finite field is a Wedderburn component of the Wedderburn decomposition of a group algebra or not. Finally, we formulate an open problem in this direction.
Keywords: Wedderburn decomposition, unit group, finite field, 20C05 
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Mittal, Gaurav; Sharma, Rajendra. A short note on the Wedderburn components of a semisimple finite group algebra. Serdica Mathematical Journal, Tome 49 (2023) no. 4, pp. 241-250. http://geodesic.mathdoc.fr/item/SMJ2_2023_49_4_a1/