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Monolithic特征标的核-余-次数对群结构的影响
The Influence of Kernel-Co-Degrees of Monolithic Characters on the Group Structure
【摘要】 正整数|G:Ker(χ)|/χ(1)叫作不可约特征标χ的核-余-次数.考察了不可约特征标或Monolithic特征标的核-余-次数的算术结构对群的结构的影响.
【Abstract】 Let G be a finite non-abelian group and let χ∈ lrr(G). The | G:Ker(χ) |/χ(1) is a positive integer. The positive integer | G: Ker(χ)|χ(1) is called as the kernelco-degree of χ.In this paper, It is discussed that the influence of the kernel-co-degrees of non-linear irreducible characters or monolithic characters on the group structure.
【关键词】 Monolithic特征标;
核-余一次数;
超可解;
群;
Sylow塔;
【Key words】 Monolithic character; kernel-co-degree; supersolvable group; Sylow tower property;
【Key words】 Monolithic character; kernel-co-degree; supersolvable group; Sylow tower property;
- 【文献出处】 西南师范大学学报(自然科学版) ,Journal of Southwest China Normal University (Natural Science Edition) , 编辑部邮箱 ,2005年06期
- 【分类号】O152.6
- 【下载频次】28