The Inductive Blockwise Alperin Weight Condition for PSL(3, q)

• 来源期刊: 代数集刊（英文版）
• 关键词: Alperin weight conjecture inductive blockwise Alperin weight condition special linear group
• 年，卷（期）: 2017,（1）
• 页码范围: 123-152
• 页数: 30页
• 语种: 英文
• DOI: 10.1142/S1005386717000086

摘要

The blockwise Alperin weight conjecture assets that for any finite group G and any prime l,the number of the Brauer characters in anl-block B equals the number of the G-conjugacy classes ofl-weights belonging to B.Recently,the inductive blockwise Alperin weight condition has been introduced such that the blockwise Alperin weight conjecture holds if all non-abelian simple groups satisfy these conditions.We will verify the inductive blockwise Alperin weight condition for the finite simple groups PSL(3,q) in this paper.