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

Radha Kessar 1 , Shigeo Koshitani 2 , and Markus Linckelmann 1
  • 1 Institute of Mathematics, University of Aberdeen, Fraser Noble Building, Aberdeen, AB24 3UE, United Kingdom
  • 2 Department of Mathematics, Graduate School of Science, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba, 263-8522, Japan

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.

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