2-Blocks with minimal nonabelian defect groups III

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

Authors

  • Benjamin Sambale

External Research Organisations

  • University of Kaiserslautern
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Details

Original languageEnglish
Pages (from-to)475-487
Number of pages13
JournalPacific journal of mathematics
Volume280
Issue number2
Publication statusPublished - 2016
Externally publishedYes

Abstract

We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broué. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39:1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15:3 (2012), 311-321).

Keywords

    Isotypies, Minimal nonabelian defect groups, Perfect isometries

ASJC Scopus subject areas

Cite this

2-Blocks with minimal nonabelian defect groups III. / Sambale, Benjamin.
In: Pacific journal of mathematics, Vol. 280, No. 2, 2016, p. 475-487.

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

Sambale B. 2-Blocks with minimal nonabelian defect groups III. Pacific journal of mathematics. 2016;280(2):475-487. doi: 10.2140/pjm.2016.280.475
Sambale, Benjamin. / 2-Blocks with minimal nonabelian defect groups III. In: Pacific journal of mathematics. 2016 ; Vol. 280, No. 2. pp. 475-487.
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