Minimal Subgroups and Supersolvability of Finite Groups
Author(s): LI Shi-rong, HE Xuan-li, SHI Jiang-tao
Pages: 81-84
Year: 2006 Issue: 2
Journal: GUANGXI SCIENCES
Keyword: 群系; Fitting子群; F-s-补; 超可解群;
Abstract: 利用群G的Fitting子群、广义Fitting子群的极小子群F-s-补条件刻划群G的结构,得到新的结果,即:设F是含U的饱和群系,G是一有限群,则G∈F的充分必要条件是存在G的可解正规子群N(或正规子群N)使得G/N∈F且F(N)(或F*(G))的所有素数阶子群在G中均有超可解-s-补.
Pages: 81-84
Year: 2006 Issue: 2
Journal: GUANGXI SCIENCES
Keyword: 群系; Fitting子群; F-s-补; 超可解群;
Abstract: 利用群G的Fitting子群、广义Fitting子群的极小子群F-s-补条件刻划群G的结构,得到新的结果,即:设F是含U的饱和群系,G是一有限群,则G∈F的充分必要条件是存在G的可解正规子群N(或正规子群N)使得G/N∈F且F(N)(或F*(G))的所有素数阶子群在G中均有超可解-s-补.
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