New refinements of the McKay conjecture for arbitrary finite groups

• 成果类型: Article
• 署名作者: Isaacs, IM; Navarro, G
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/3597192
• 发表日期: 2002
• 页码: 333-344
• 关键词: characters

摘要

Let G be an arbitrary finite group and fix a prime number p. The McKay conjecture asserts that G and the normalizer in G of a S, low p-subgroup have equal numbers of irreducible characters with degrees not divisible by p. The Alperin-McKay conjecture is version of this as applied to individual Brauer p-blocks of G. We offer evidence that perhaps much stronger forms of both of these conjectures are true.