| p-超可解群的一些充分条件 |
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| 引用本文： | 张雪梅,季红蕾,卞小霞.p-超可解群的一些充分条件[J].盐城工学院学报(自然科学版),2010,23(3):21-23. |
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| 作者姓名： | 张雪梅 季红蕾 卞小霞 |
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| 作者单位： | 盐城工学院基础教学部,江苏盐城224051; |
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| 摘 要： | 设X是群G的非空子集,A≤G,B≤G,若x∈X使得ABx=BxA,则称A和B在G中X-可换;若P∈Sylp（G）,x∈X,使得APx=PxA,则称A在G中X-s-可换。利用有限群G的子群的X-可换及X-s-可换性刻画群G的结构,得到群G为p-超可解群的一些充分条件。
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| 关 键 词： | 有限群 X-可换 X-s-可换 p-超可解 |
Some Sufficient Conditions of supersolvable Group |
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| ZHANG Xue-mei,JI Hong-lei,BIAN Xiao-xia.Some Sufficient Conditions of supersolvable Group[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2010,23(3):21-23. |
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| Authors: | ZHANG Xue-mei JI Hong-lei BIAN Xiao-xia |
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| Institution: | (Department of Fundamental Sciences Teaching,Yancheng Institute of Technology,Jiangsu Yancheng 224051,China) |
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| Abstract: | Let X be a nonempty subset of a group G.Two subgroups A and B of G are said to be X-permutable in G if there exists an element x∈X such that ABx=BxA.A subgroup A of G is said to be X-s-permutable in G if there exists an element x∈X such that APx=PxA.In this paper,X-permutable and X-s-permutable conditions are used on some subgroups of G to characterize the structure of G,and obtain some sufficient conditions for some finite group G to be p-supersolvable. |
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| Keywords: | finite group X-permutable X-s-permutable p-supersolvable |
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