Character degrees and local subgroups of <IMG ALIGN=BOTTOM HEIGHT=9 WIDTH=10>-separable groups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Character degrees and local subgroups of -separable groups

Authors:	Gabriel Navarro Thomas Wolf

Institution:	Departament d'Algebra, Facultat de Matemátiques, Universitat de València, 46100 Burjassot, València, Spain ; Department of Mathematics, Ohio University, Athens, Ohio 45701

Abstract:	Let be a finite $\{p,q \}$ -solvable group for different primes and . Let $P \in \text{Syl}_{p}(G)$ and $Q \in \text{Syl}_{q}(G)$ be such that . We prove that every $\chi \in \text{Irr}(G)$ of $p^{\prime }$ -degree has $q^{\prime }$ -degree if and only if $\mathbf{N}_{G}(P) \subseteq \mathbf{N}_{G}(Q)$ and $\mathbf{C}_{Q^{\prime }}(P)=1$ .

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文