A bound for <IMG ALIGN=MIDDLE HEIGHT=14 WIDTH=14>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

A bound for

Authors:	Diane Benjamin

Affiliation:	Department of Mathematics, University of Wisconsin -- Platteville, Platteville, Wisconsin, 53818

Abstract:	Let denote the largest irreducible character degree of a finite group , and let be a prime. Two results are obtained. First, we show that, if is a -solvable group and if $b(G) < p^{2}$ , then $p^{2} {not big vert },\|,G:{mathbf{O}}_{p}(G)\|$ . Next, we restrict attention to solvable groups and show that, if $b(G) le p^{alpha }$ and if is a Sylow -subgroup of , then $\|P: {mathbf{O}}_{p}(G)\|le p^{2alpha }$ .

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》下载全文