Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32

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

Authors

  • Cesare Giulio Ardito
  • Benjamin Sambale

Research Organisations

External Research Organisations

  • City University London
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Details

Original languageEnglish
Pages (from-to)71-78
Number of pages8
JournalAdvances in Group Theory and Applications
Volume12
Publication statusPublished - Dec 2021

Abstract

The first author recently classified the Morita equivalence classes of 2-blocks of finite groups with elementary abelian defect groups of order 32. In all but three cases he proved that the Morita equivalence class determines the inertial quotient of the block. We finish the remaining cases by utilizing the theory of lower defect groups. As a corollary, we verify Broué’s Abelian Defect Group Conjecture in this situation.

Keywords

    2-block, Morita equivalence, abelian defect group, Broue's conjecture, Broué’s conjecture

ASJC Scopus subject areas

Cite this

Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32. / Ardito, Cesare Giulio; Sambale, Benjamin.
In: Advances in Group Theory and Applications, Vol. 12, 12.2021, p. 71-78.

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

Ardito, CG & Sambale, B 2021, 'Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32', Advances in Group Theory and Applications, vol. 12, pp. 71-78. https://doi.org/10.32037/agta-2021-012
Ardito, C. G., & Sambale, B. (2021). Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32. Advances in Group Theory and Applications, 12, 71-78. https://doi.org/10.32037/agta-2021-012
Ardito CG, Sambale B. Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32. Advances in Group Theory and Applications. 2021 Dec;12:71-78. doi: 10.32037/agta-2021-012
Ardito, Cesare Giulio ; Sambale, Benjamin. / Broue's Conjecture for 2-Blocks with Elementary Abelian Defect Groups of Order 32. In: Advances in Group Theory and Applications. 2021 ; Vol. 12. pp. 71-78.
Download
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