New refinements of the McKay conjecture for arbitrary finite groups
New refinements of the McKay conjecture for arbitrary finite groups
复制标题
任意有限群麦凯猜想的新改进
DOI：
10.2307/3597192
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发表时间：
2002
影响因子：
4.9
通讯作者：
G. Navarro
中科院分区：
文献类型：
--
作者：
I. Isaacs;G. Navarro
设G是一个任意有限群，且固定一个素数p。McKay猜想断言G和G中Sylow p-子群的正规化子具有相同数量的不可约特征标，其度不可被p整除。Alperin-McKay猜想是将其应用于G的单个Brauer p-块的版本。我们提供的证据表明，也许这两种假设的更强形式是正确的。
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 Sylow 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.