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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The Schur index and roots of unity


Author: G. J. Janusz
Journal: Proc. Amer. Math. Soc. 35 (1972), 387-388
MSC: Primary 20C05; Secondary 16A16
DOI: https://doi.org/10.1090/S0002-9939-1972-0302748-9
MathSciNet review: 0302748
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Abstract: A short proof is given for the main step in the proof of the theorem of Benard and Schacher which asserts that if the Schur index of a character $ \chi $ of a finite group is m then the mth roots of unity lie in the field of values $ Q(\chi )$.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0302748-9
Keywords: Crossed product, Schur index, Brauer group
Article copyright: © Copyright 1972 American Mathematical Society