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	On an inverse problem to Frobenius' theorem
	Meng, Wei ; Shi, Jiangtao
	2011
关键词	Frobenius&apos p-group Nilpotent group SPORADIC SIMPLE-GROUPS LIE TYPE CONJECTURE theorem
英文摘要	Let G be a finite group and e a positive integer dividing vertical bar G vertical bar, the order of G. Denoting L(c)(G) = {x is an element of G vertical bar x(c) = 1}, Frobenius proved that vertical bar L(e)(G)vertical bar = ke for a positive integer k >= 1. In this paper, we give a complete classification of finite groups G with vertical bar L(e)(G)vertical bar <= 2e for every e dividing vertical bar G vertical bar.; Mathematics; SCI(E); 2; ARTICLE; 2; 109-114; 96
语种	英语
出处	SCI
出版者	archiv der mathematik
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/241500]
专题	数学科学学院
推荐引用方式 GB/T 7714	Meng, Wei,Shi, Jiangtao. On an inverse problem to Frobenius&apos; theorem. 2011-01-01.

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