A reduction theorem for the Alperin weight conjecture

• 成果类型: Article
• 署名作者: Navarro, Gabriel; Tiep, Pham Huu
• 署名单位: University of Arizona; University of Valencia
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0295-2
• 发表日期: 2011
• 页码: 529-565
• 关键词: irreducible representations; counting characters; vertices; blocks; defect

摘要

The Alperin Weight Conjecture was stated by J. Alperin in 1986 and constitutes one of the main problems in the representation theory of finite groups. In this paper, we provide a reduction to simple groups and as an application we prove the conjecture in several cases.