s-条件置换子群与有限群的超可解性 |
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引用本文: | 胡玉生,张利英.s-条件置换子群与有限群的超可解性[J].佳木斯工学院学报,2011(1):133-134. |
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作者姓名: | 胡玉生 张利英 |
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作者单位: | 安徽财经大学统计与应用数学学院,安徽蚌埠233030 |
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基金项目: | 安徽省高等学校自然科研项目(KJ2009B126Z); 安徽省高校优秀青年人才基金(2010SQRW056) |
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摘 要: | 有限群G的子群H称为G的s-条件置换子群,如果对G的任意Sylow子群P,存在G的某个元素z,使得HPz=PzH.本文利用s-条件置换子群的概念研究了有限群的某些素数幂阶子群,得到了超可解群的一些充分条件.
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关 键 词: | s-条件置换子群 极大子群 超可解群 |
s-conditionally Permutable Subgroup and the Supersoluble Property of Finite Group |
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Authors: | HU Yu-sheng ZHANG Li-ying |
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Affiliation: | (Institute of Statistics and Applied Mathematics,Anhui Financial University,Bengbu 233030,China) |
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Abstract: | A subgroup H of a finite group G is s-conditionally permutable in G if for every Sylow subgroup P of G there is an element z∈G such that HPz=PzH.In this paper,some subgroups with prime power order by its s-conditionally permutable properties were studied and some sufficient conditions were obtained about supersoluble group. |
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Keywords: | s-conditionally permutable subgroup maximal subgroup supersoluble group |
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