On Some Groups with Finite Involution Saturated with Finite Simple 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

On Some Groups with Finite Involution Saturated with Finite Simple Groups

Authors:	Sozutov A. I. Shlepkin A. K.

Affiliation:	(1) Krasnoyarsk State Academy of Architecture and Building, Russia;(2) Krasnoyarsk State Agrarian University, Russia

Abstract:	In the paper, on the basis of the notion of saturation introduced in [1], we give a characterization of locally finite simple groups $Re(P),Sz(Q),{text{ and }}L_2 (P)$ with an Abelian Sylow 2-subgroup in the classes of mixed and periodic groups. A part of the main results was announced in [2]. Theorem 2 of the paper generalizes results of [3, 4].

Keywords:	locally finite simple group periodic group group saturation group involution Sylow subgroup Frobenius group
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