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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The Schur index of the $ p$-regular characters of the Borel subgroup


Author: G. I. Lehrer
Journal: Proc. Amer. Math. Soc. 76 (1979), 196-198
MSC: Primary 20G05
MathSciNet review: 537072
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Abstract: Let B be the group of $ {{\mathbf{F}}_q}$-rational points of the Borel subgroup of a connected reductive group defined over the finite field $ {{\mathbf{F}}_q}$. It is shown that under appropriate conditions, all irreducible characters of B which have degree prime to q have Schur index one.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0537072-9
PII: S 0002-9939(1979)0537072-9
Article copyright: © Copyright 1979 American Mathematical Society