Induction of Characters and p-Subgroups☆☆☆

Induction of Characters and p-Subgroups☆☆☆
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DOI:
10.1006/jabr.2001.9094
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发表时间:
2002-04
期刊:
影响因子:
0.9
通讯作者:
G. Navarro
G. Navarro
中科院分区:
数学3区
文献类型:
--
作者:
G. Navarro

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设G是有限群,χ∈ IrrG是G的一个不可约复特征标.通过特征标诱导的传递性,我们知道χ是由G的某个子群U的某个本原特征标诱导而来的.本文的目的是给出群G与群U的Sylow子群之间的一种新的关系。
Let G be a finite group and let χ∈ IrrG be an irreducible complex character of G. By the transitivity of the induction of characters, we know that χ is induced from some primitive character of some subgroup U of G. Our aim in this paper is to provide a new relationship between the Sylow subgroups of U and the group G.