| SS-拟正规子群与有限群的p-幂零性 |
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| 引用本文： | 敖静,钱方生.SS-拟正规子群与有限群的p-幂零性[J].哈尔滨师范大学自然科学学报,2010,26(4):4-5,9. |
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| 作者姓名： | 敖静 钱方生 |
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| 作者单位： | 哈尔滨师范大学 |
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| 基金项目： | 国家自然科学基金，龙江学者基金，黑龙江省教育厅项目，黑龙江省高等教育教学改革工程 |
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| 摘 要： | 群G的子群H称为SS-拟正规的,如果存在K≤G,使得G=HK,且H与K的所有Sylow子群可交换相乘.利用SS-拟正规的性质,给出了有限群的p-幂零性的充分条件.
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| 关 键 词： | SS-拟正规 p-幂零性 有限群 |
SS-quasinormal Subgroups and p-nilpotent of Finite Groups |
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| Ao Jing,Qian Fangsheng.SS-quasinormal Subgroups and p-nilpotent of Finite Groups[J].Natural Science Journal of Harbin Normal University,2010,26(4):4-5,9. |
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| Authors: | Ao Jing Qian Fangsheng |
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| Institution: | (Harbin Normal University) |
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| Abstract: | A subgroups h of G is said to be an SS-quasinormal subgroup of G,if there is a supplement K of H to G such that H permutes with every Sylow subgroup of K.In this paper,using the character of SS-quasinormal subgroups,some sufficient conditions of p-nilpotent of finite groups are obtained. |
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| Keywords: | SS-quasinormal subgroup p-nilpotent finite groups |
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