Cartan matrices and Brauer's k(B)-Conjecture V

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Cesare G. Ardito
  • Benjamin Sambale

Organisationseinheiten

Externe Organisationen

  • University of Manchester
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Details

OriginalspracheEnglisch
Seiten (von - bis)670-699
Seitenumfang30
FachzeitschriftJournal of Algebra
Jahrgang606
Frühes Online-Datum25 Mai 2022
PublikationsstatusVeröffentlicht - 15 Sept. 2022

Abstract

We prove Brauer's -Conjecture for the 3-blocks with abelian defect groups of rank at most 5 and for all 3-blocks of defect at most 4. For this purpose we develop a computer algorithm to construct isotypies based on a method of Usami and Puig. This leads further to some previously unknown perfect isometries for the 5-blocks of defect 2. We also investigate basic sets which are compatible under the action of the inertial group.

ASJC Scopus Sachgebiete

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Cartan matrices and Brauer's k(B)-Conjecture V. / Ardito, Cesare G.; Sambale, Benjamin.
in: Journal of Algebra, Jahrgang 606, 15.09.2022, S. 670-699.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ardito CG, Sambale B. Cartan matrices and Brauer's k(B)-Conjecture V. Journal of Algebra. 2022 Sep 15;606:670-699. Epub 2022 Mai 25. doi: 10.48550/arXiv.1911.10710, 10.1016/j.jalgebra.2022.04.035
Ardito, Cesare G. ; Sambale, Benjamin. / Cartan matrices and Brauer's k(B)-Conjecture V. in: Journal of Algebra. 2022 ; Jahrgang 606. S. 670-699.
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