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	Nonsolvable groups satisfying the prime-power hypothesis
	Liu, Yanjun ; Song, Xueling ; Zhang, Jiping
	2015
关键词	Finite nonsolvable group Character degree Prime-power hypothesis IRREDUCIBLE CHARACTER DEGREES SOLVABLE-GROUPS DEGREE GRAPHS NUMBER
英文摘要	Let G be a finite group with the degree set cd(G) of its complex irreducible characters. We call that G satisfies the prime-power hypothesis if, for distinct degrees chi(1), psi(1) is an element of cd(G), the greatest common divisor gcd(chi(1), psi(1)) is a prime power. In this paper, we show that vertical bar cd(G)vertical bar <= 18 if G is a nonsolvable group satisfying the prime-power hypothesis. (c) 2014 Elsevier Inc. All rights reserved.; National 973 Project [2011CB808003]; NSFC [11201194]; SCI(E); ARTICLE; liuyj@math.pku.edu.cn; sxling@math.pku.edu.cn; jzhang@pku.edu.cn; ,SI; 455-483; 442
语种	中文
出处	SCI
出版者	JOURNAL OF ALGEBRA
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/415296]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Yanjun,Song, Xueling,Zhang, Jiping. Nonsolvable groups satisfying the prime-power hypothesis. 2015-01-01.

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