A Note on the Brauer-Speiser Theorem
- 1 July 1970
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 25 (3) , 620-621
- https://doi.org/10.2307/2036656
Abstract
The Brauer-Speiser theorem asserts that the Schur index of a real-valued complex irreducible character of a finite group is either or . In this paper we present a brief proof of this result. From this it follows that the -central nontrivial division algebra components of group algebras over a real algebraic number field are quaternions.Keywords
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