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A short note on Wedderburn decomposition of a group algebra
oleh: Gaurav Mittal, R.K. Sharma
Format: | Article |
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Diterbitkan: | Elsevier 2023-11-01 |
Deskripsi
In this paper, we extend the result of Mittal and Sharma (Bull. Korean Math. Soc. 2022) on Wedderburn decomposition (WD) of a finite semisimple group algebra. It is known that, under certain conditions, WD of a finite semisimple group algebra FqGcan be computed from WD of its subalgebra Fq(G/H), where H is a normal subgroup of G of prime order and q=pkfor some prime p and positive integer k. We extend this result to any normal subgroup H of G of order n.