Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups

JOURNAL OF ALGEBRA

卷:322

Article

Danz, Susanne¹  Kuelshammer, Burkhard¹ 

[1] Univ Jena, Math Inst, D-07737 Jena, Germany

关键词: Alperin's Weight Conjecture;    Broue's Abelian Defect Group Conjecture;    Covering group;    Green correspondent;    Mathieu group;    Morita equivalence;    Simple module;    Source;    Vertex;   

DOI  :  10.1016/j.jalgebra.2009.03.035

来源: Elsevier

【 摘 要 】

We investigate the simple modules for the sporadic simple Mathieu groups M(22), M(23) and M(24) OS well as those of the automorphism group. the covering groups and the bicyclic extensions of M(22) ill characteristics 2 and 3. We determine the vertices and sources as well as the Green correspondents of these simple modules. We also find two 3-blocks with elementary abelian defect groups Of order 9 in these groups which are Morita equivalent to their Brauer correspondents. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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