| 关于P幂零群的几点注记 |
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| 引用本文： | 任永才.关于P幂零群的几点注记[J].四川大学学报(自然科学版),1989,26(1):35-38. |
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| 作者姓名： | 任永才 |
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| 摘 要： | 设P是有限群G的一个Sylow p子群.令1
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| 关 键 词： | P幂零群 有限群论 子群 |
SEVERAL REMARKS FOR p-NILPOTENT GROUP |
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| Ren Yongcai.SEVERAL REMARKS FOR p-NILPOTENT GROUP[J].Journal of Sichuan University (Natural Science Edition),1989,26(1):35-38. |
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| Authors: | Ren Yongcai |
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| Institution: | Ren Yongcai |
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| Abstract: | Let P be a Sylow p-Subgroup of a finite group G. If every term Z,(P) in the upper central series of P is weakly closed in P with respect to G, then the upper central series of P is said to be weakly closed. By a elementary procedure author proves: (l) G is p-nilpotent if and only if the upper central series of P is weakly closed and N (P) is p-nilpotent: (2) If N (Q)/CG(Q) is a p-group for every Q with Z(P)
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| Keywords: | p-nilpotent group Sylow subgroup normaj subgroup weakly colsed central scries |
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