Geodesic
When the Wedderburn decomposition of the semisimple group algebra FqG implies that of Fq(G × C2)?
Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 253-260.

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In this short note we give a condition under which the Wedderburn decomposition (WD) of the semisimple group algebra \(F_q(G\times C_2)\) can be directly deduced from the WD of the semisimple group algebra \(F_qG\), where \(F_q\) is a finite field with char\((F_q)>2\), \(G\) is an arbitrary finite group and \(C_2\) is a group of order 2. To complement the abstract theory with an example, we determine the WD of the semisimple group algebra \(F_q(A_5\times C_2)\), where \(A_5\) is the alternating group from that of \(F_qA_5\).
Keywords: Wedderburn decomposition, group algebra, 20C05 
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Mittal, Gaurav; Sharma, Rajendra Kumar. When the Wedderburn decomposition of the semisimple group algebra FqG implies that of Fq(G × C2)?. Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 253-260. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a3/