| 极小子群完全条件可换的有限群 |
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| 引用本文： | 何鸣.极小子群完全条件可换的有限群[J].吉林工学院学报,2005,26(2):142-144. |
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| 作者姓名： | 何鸣 |
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| 作者单位： | 江阴职业技术学院基础部 江苏江阴214400 |
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| 摘 要： | 设F是一个子群闭的局部群系，具有下列性质：极小非F-群可解，且它的F-上根是一个Sylow子群。如果群G的任意4阶循环子群在G中完全条件可换，且G的任意极小子群包含于G的F-超中心内，那么G是一个F-群。
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| 关 键 词： | 有限群 群系 极小子群 群结构 |
| 文章编号： | 1006-2939(2005)02-0142-03 |
| 修稿时间： | 2005年1月7日 |
Finite groups with completely conditional permutable minimal subgroups |
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| HE Ming.Finite groups with completely conditional permutable minimal subgroups[J].Journal of Jilin Institute of Technology,2005,26(2):142-144. |
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| Authors: | HE Ming |
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| Abstract: | F is assumed to be a local formation of a subgroup with the following properties: a solvable minimal non-F-group and its F-residual is a Sylow subgroup. It is shown that if any cyclic subgroups of G of order 4 is completely conditional permutable in G and if any minimal subgroups of G is (contained) in the F-hypercentre, then G is an F-group. |
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| Keywords: | group formation minimal subgroup structure of groups |
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