期刊论文详细信息
JOURNAL OF ALGEBRA 卷:440
The character degree simplicial complex of a finite group
Article
Jensen, Sara1 
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
关键词: Character theory;    Finite groups;    Solvable groups;   
DOI  :  10.1016/j.jalgebra.2015.06.001
来源: Elsevier
PDF
【 摘 要 】

The character degree graph Gamma(G) of a finite group G has long been studied as a means of understanding the structural properties of G. For example, a result of Manz and Palfy states that the character degree graph of a finite solvable group has at most two connected components. In this paper, we introduce the character degree simplicial complex g(G) of a finite group G. We provide examples justifying the study of this simplicial complex as opposed to Gamma(G), and prove an analogue of Manz's Theorem on the number of connected components that is dependent upon the dimension of g(G). (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jalgebra_2015_06_001.pdf 399KB PDF download
  文献评价指标  
  下载次数:0次 浏览次数:0次