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有限群超可解的若干充分条件
Some sufficient conditions for supersolvability of finite groups
【摘要】 称群G的一个子群H在G中弱c-正规,若存在G的一个次正规子群K,使G=H K且H∩K≤HG.主要利用子群的弱c-正规性对有限群结构的影响,得到了有限群超可解的若干充分条件.
【Abstract】 A subgroup H of a finite group G is said to be weakly c-normal in G if there exists a subnormal subgroup K of G such that G=HK and H∩K≤H_G.Using weakly c-normal subgroups,some sufficient conditions for supersolvability of finite groups are obstained.
【关键词】 有限群;
弱c-正规子群;
超可解群;
次正规子群;
【Key words】 finite groups; weakly c-normal subgroups; supersolvable groups; subnormal subgroups;
【Key words】 finite groups; weakly c-normal subgroups; supersolvable groups; subnormal subgroups;
【基金】 山东省自然科学基金资助项目(Y2000A02)
- 【文献出处】 扬州大学学报(自然科学版) ,Journal of Yangzhou University(Natural Science Edition) , 编辑部邮箱 ,2005年04期
- 【分类号】O152.1
- 【被引频次】7
- 【下载频次】103