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

Author(s): Gabriela Olteanu.
Journal: Math. Comp. 76 (2007), 1073-1087.
MSC (2000): Primary 20C15; Secondary 16S34
Posted: January 4, 2007
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Abstract | References | Similar articles | Additional information

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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Additional Information:

Gabriela Olteanu
Affiliation: Department of Mathematics and Computer Science, North University of Baia Mare, Victoriei 76, 430072 Baia Mare, Romania.
Address at time of publication: Department of Mathematics, University of Murcia, 30100 Murcia, Spain.
Email: golteanu@um.es, olteanu@math.ubbcluj.ro

DOI: 10.1090/S0025-5718-07-01957-6
PII: S 0025-5718(07)01957-6
Keywords: Wedderburn decomposition, Brauer--Witt theorem, Schur index
Received by editor(s): February 20, 2006
Posted: January 4, 2007
Additional Notes: The author was partially supported by the D.G.I. of Spain and Fundación Séneca of Murcia
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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