On e-cuspidal pairs of finite groups of exceptional Lie type

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Authors

  • Ruwen Hollenbach

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Original languageEnglish
Article number106781
JournalJournal of Pure and Applied Algebra
Volume226
Issue number1
Early online date24 May 2021
Publication statusPublished - Jan 2022

Abstract

Let G be a simple, simply connected algebraic group of exceptional type defined over Fq with Frobenius endomorphism F:G→G. Let ℓ∤q be a good prime for G. We determine the number of irreducible Brauer characters in the quasi-isolated ℓ-blocks of GF. This is done by proving that generalized e-Harish-Chandra theory holds for the Lusztig series associated to quasi-isolated elements of G⁎F.

Keywords

    Basic sets, e-Harish-Chandra theory, Inequalities for blocks of finite groups of Lie type

ASJC Scopus subject areas

Cite this

On e-cuspidal pairs of finite groups of exceptional Lie type. / Hollenbach, Ruwen.
In: Journal of Pure and Applied Algebra, Vol. 226, No. 1, 106781, 01.2022.

Research output: Contribution to journal › Article › Research › peer review

Hollenbach R. On e-cuspidal pairs of finite groups of exceptional Lie type. Journal of Pure and Applied Algebra. 2022 Jan;226(1):106781. Epub 2021 May 24. doi: 10.48550/arXiv.1905.10754, 10.1016/j.jpaa.2021.106781
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