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可解群的大轨道 被引量:1

Large Orbits of Solvable Groups
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摘要 G可解群,G忠实的作用在有限群H上,且(|G|,|H|)=1,那么存在x,y∈H满足C_G(x)∩C_G(y)=1,即G有大轨道. Let G be a solvable group acting faithfully on a group H.If(|G|,|H|)=1,then there exist x,y∈H,such thatC_G(x)∩C_G(y)=1.There exists a large G-orbit in H.
作者 石立叶 王少英 仝延增 赵冠华 SHI Li-ye;WANG Shao-ying;TONG Yan-zeng;ZHAO Guan-hua(Department of Mathematics and Physics,Handan College,Handan056005,China)
出处 《数学的实践与认识》 北大核心 2019年第8期311-315,共5页 Mathematics in Practice and Theory
关键词 可解群 群作用 大轨道 solvable group action of group large orbit
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