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Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8
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Radha Kessar
,
Shigeo Koshitani
Published/Copyright:
December 13, 2011
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.
Received: 2010-05-17
Revised: 2010-12-10
Published Online: 2011-12-13
Published in Print: 2012-10
©[2012] by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Conformal maps from a 2-torus to the 4-sphere
- Sofic random processes
- Overlap properties of geometric expanders
- Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8
- A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group
- Spin representations of Weyl groups and the Springer correspondence
- Higgs bundles over the good reduction of a quaternionic Shimura curve
Articles in the same Issue
- Conformal maps from a 2-torus to the 4-sphere
- Sofic random processes
- Overlap properties of geometric expanders
- Conjectures of Alperin and Broué for 2-blocks with elementary abelian defect groups of order 8
- A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group
- Spin representations of Weyl groups and the Springer correspondence
- Higgs bundles over the good reduction of a quaternionic Shimura curve
