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 | |
【 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 】
Files | Size | Format | View |
---|---|---|---|
10_1016_j_jalgebra_2015_06_001.pdf | 399KB | download |