Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

Olteanu, Gabriela

doi:10.1090/S0025-5718-07-01957-6

Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem

Author: Gabriela Olteanu
Journal: Math. Comp. 76 (2007), 1073-1087
MSC (2000): Primary 20C15; Secondary 16S34
DOI: https://doi.org/10.1090/S0025-5718-07-01957-6
Published electronically: January 4, 2007
MathSciNet review: 2291851
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Abstract: We present an alternative constructive proof of the Brauer–Witt theorem using the so-called strongly monomial characters that gives rise to an algorithm for computing the Wedderburn decomposition of semisimple group algebras of finite groups.

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