Trivial source character tables of SL2(q)

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Original languageEnglish
Pages (from-to)308-350
Number of pages43
JournalJournal of Algebra
Volume598
Early online date10 Feb 2022
Publication statusPublished - 15 May 2022

Abstract

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL2(q) over a large enough field k of positive characteristic ℓ via character-theoretical methods in the cases in which q is odd, ℓ|(q±1) when ℓ is odd, and q≡±3(mod8) when ℓ=2.

Keywords

    Block theory, Character theory, Special linear group, Species tables, Trivial source modules, p-permutation modules

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Trivial source character tables of SL2(q). / Böhmler, Bernhard; Farrell, Niamh; Lassueur, Caroline.
In: Journal of Algebra, Vol. 598, 15.05.2022, p. 308-350.

Research output: Contribution to journalArticleResearchpeer review

Böhmler B, Farrell N, Lassueur C. Trivial source character tables of SL2(q). Journal of Algebra. 2022 May 15;598:308-350. Epub 2022 Feb 10. doi: 10.1016/j.jalgebra.2022.01.024
Böhmler, Bernhard ; Farrell, Niamh ; Lassueur, Caroline. / Trivial source character tables of SL2(q). In: Journal of Algebra. 2022 ; Vol. 598. pp. 308-350.
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