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	π-Hall子群的线性特征标的诱导; Induced Characters from Linear Characters of a π-Hall Subgroup
	范娟娟 ; 杜妮
	2009
关键词	π-Hall子群 线性特征标 诱导特征标 共轭 π-Hall subgroup linear character induced character conjugate
英文摘要	诱导特征标研究群g的特征标与它的子群的特征标之间的关系,其主要目的是利用g的子群已知的不可约特征标来获得g的一些不可约特征标,从而了解g的结构.MCkAy猜想断言:设g为任意有限群,P为任意素数,n为g的一个SylOWP-子群P在g中的正规化子,则g和n的P′-次不可约复特征标的个数恰好相等.显然n的每个P′-次不可约复特征标在P上的限制均为线性特征标.在研究g和n的P′-次不可约复特征标之间可能存在的典范对应时,nAVArrO于2003年在J.Alg上发表了关于SylOWP-子群P的线性特征标到n和g的诱导性质.本文利用特征标的诱导公式,通过研究群与子群的共轭类关系,将其中的SylOWP-子群替换为π-HAll子群,对nAVArrO文中的3个主要定理做了更进一步的推广,这同时是对MCkAy猜想π-形式的研究.; The concept of induced character plays an important role in investigating the irreducible characters of G by the irreducible characters of its subgroups.If P is a Sylow p-subgroup of G and N=NG(P),then equal numbers of the irreducible characters of G and of N have degrees not divisible by p.This is the Mckay conjecture.If θ is an irreducible character of N which is p′-degree,then θP is a linear character.The induced characters of linear characters of Sylow p-subgroup were investigated by Navarro.This paper investigated the induced characters from linear characters of nilpotent π-Hall subgroups.The main results generalizes the theorem which was proved by Navarro.It was a further research about Mckay conjecture of π-forms.; 福建省自然科学基金(S0650036)资助
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119680]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	范娟娟,杜妮. π-Hall子群的线性特征标的诱导, Induced Characters from Linear Characters of a π-Hall Subgroup[J],2009.
APA	范娟娟,&杜妮.(2009).π-Hall子群的线性特征标的诱导..
MLA	范娟娟,et al."π-Hall子群的线性特征标的诱导".(2009).

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