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

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

Authors

  • Cesare G. Ardito
  • Benjamin Sambale

Research Organisations

External Research Organisations

  • University of Manchester
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Details

Original languageEnglish
Pages (from-to)670-699
Number of pages30
JournalJournal of Algebra
Volume606
Early online date25 May 2022
Publication statusPublished - 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.

Keywords

    math.RT, Usami–Puig method, Brauer's conjecture, Perfect isometries, Number of characters

ASJC Scopus subject areas

Cite this

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

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

Ardito CG, Sambale B. Cartan matrices and Brauer's k(B)-Conjecture V. Journal of Algebra. 2022 Sept 15;606:670-699. Epub 2022 May 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 ; Vol. 606. pp. 670-699.
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