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| p-超可解群的一些充分条件 |
| Some Sufficient Conditions of supersolvable Group |
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| DOI：10.3969/j.issn.1671-5322.2010.03.005 |
| 中文关键词: 有限群 X-可换 X-s-可换 p-超可解 |
| 英文关键词: finite group X-permutable X-s-permutable p-supersolvable |
| 基金项目: |
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| 摘要点击次数: 4447 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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