Bounds on the number of irreducible Brauer characters in blocks of finite groups of exceptional Lie type

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

Authors

  • Ruwen Hollenbach

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Details

Original languageEnglish
Pages (from-to)199-221
Number of pages23
JournalJournal of algebra
Volume580
Early online date14 Apr 2021
Publication statusPublished - 15 Aug 2021

Abstract

Let G be a simple, simply connected linear algebraic group of exceptional type defined over Fq with Frobenius endomorphism F:G→G. In this work we give upper bounds for the number of irreducible Brauer characters in the quasi-isolated ℓ-blocks of GF and GF/Z(GF) when the prime ℓ is bad for G.

Keywords

    Bad primes, Inequalities for blocks of finite groups of Lie type, Number of simple modules

ASJC Scopus subject areas

Cite this

Bounds on the number of irreducible Brauer characters in blocks of finite groups of exceptional Lie type. / Hollenbach, Ruwen.
In: Journal of algebra, Vol. 580, 15.08.2021, p. 199-221.

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

Hollenbach R. Bounds on the number of irreducible Brauer characters in blocks of finite groups of exceptional Lie type. Journal of algebra. 2021 Aug 15;580:199-221. Epub 2021 Apr 14. doi: 10.1016/j.jalgebra.2021.03.034
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