Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8

R. Kessar; S. Koshitani; M. Linckelmann

doi:10.1515/CRELLE.2011.162

Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8

R. Kessar, S. Koshitani, M. Linckelmann

Pure Mathematics

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

Abstract

Using the classification of finite simple groups, we prove Alperin's weight conjecture and the character theoretic version of Broué's abelian defect conjecture for 2-blocks of finite groups with an elementary abelian defect group of order 8.

Original language	English
Pages (from-to)	85-130
Number of pages	46
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2012
Issue number	671
Early online date	13 Dec 2011
DOIs	https://doi.org/10.1515/CRELLE.2011.162
Publication status	Published - Oct 2012

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title = "Conjectures of Alperin and Brou{\'e} for 2-blocks with elementary abelian defect groups of order 8",

abstract = "Using the classification of finite simple groups, we prove Alperin's weight conjecture and the character theoretic version of Brou{\'e}'s abelian defect conjecture for 2-blocks of finite groups with an elementary abelian defect group of order 8.",

author = "R. Kessar and S. Koshitani and M. Linckelmann",

year = "2012",

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AB - Using the classification of finite simple groups, we prove Alperin's weight conjecture and the character theoretic version of Broué's abelian defect conjecture for 2-blocks of finite groups with an elementary abelian defect group of order 8.

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DO - 10.1515/CRELLE.2011.162

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JO - Journal fur die Reine und Angewandte Mathematik

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Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8

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