On Finite Simple Groups with the Set of Element Orders as in a Frobenius Group or a Double Frobenius Group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

On Finite Simple Groups with the Set of Element Orders as in a Frobenius Group or a Double Frobenius Group

Authors:	Aleeva M. R.

Affiliation:	(1) Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Ekaterinburg

Abstract:	It is proved that a finite simple group with the set of element orders as in a Frobenius group (a double Frobenius group, respectively) is isomorphic to L₃(3) or U₃(3) (to U₃(3) or S₄(3), respectively).

Keywords:	simple finite group Frobenius group double Frobenius group order of an element
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