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群的R-根(英文)
引用本文:赵光武,张志让,吕智颖. 群的R-根(英文)[J]. 成都信息工程学院学报, 2009, 24(3)
作者姓名:赵光武  张志让  吕智颖
作者单位:成都信息工程学院数学学院,四川,成都,610225
摘    要:建立了任意群的R-根的存在性并且指出它就是某种类型素正规子群的交;利用群的R.根给出了一些群类的结构性定理.

关 键 词:群的R-根  素正规子群  群的R-半单

Radical radical of an arbitrary group
ZHAO Guang-wu,ZHANG Zhi-rang,LV Zhi-ying. Radical radical of an arbitrary group[J]. Journal of Chengdu University of Information Technology, 2009, 24(3)
Authors:ZHAO Guang-wu  ZHANG Zhi-rang  LV Zhi-ying
Affiliation:School of Mathematics;CUIT;Chengdu 610225;China
Abstract:The existence of the radical radical in an arbitrary group is established and is identified with an intersection of the prime normal subgroups in groups of certain types.As a consequence several structure theorems for them are obtained.
Keywords:radical radical of group  prime normal subgroup  radical-semisimple group
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