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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
DOI: https://doi.org/10.1090/S0002-9939-1979-0537072-9
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.


References [Enhancements On Off] (What's this?)

  • [1] G. I. Lehrer, Adjoint groups, regular unipotent elements and discrete series characters, Trans. Amer. Math. Soc. 214 (1975), 249-260. MR 0384915 (52:5785)
  • [2] -, On a conjecture of Alperin and McKay, Math. Scand. 43 (1978), 5-10. MR 523819 (80g:20020)
  • [3] Z. Ohmori, On the Schur indices of reductive groups, Quart. J. Math. Oxford Ser. (2) 28 (1977), 357-361. MR 0486167 (58:5948)

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DOI: https://doi.org/10.1090/S0002-9939-1979-0537072-9
Article copyright: © Copyright 1979 American Mathematical Society

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