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1)  strictly p-closed group
强p-闭群
1.
Firstly,some new concepts of p-principal divisor,supersolvable group and strictly p-closed group are introduced.
首先,引进了p-主因子,超可解群和强p-闭群的新概念;然后,证明了它们的一些性质;最后利用这些性质和概念证明了极大子群的指数皆素数的群必是超可解群。
2)  P-closed
P闭群
3)  p-Closed group
p-闭群
1.
2,we consider some abelian subgroups whose centralizers are equal to its normalizers,so we obtain some sufficient conditions of p-nilpotent groups and p-closed group.
2,通过考虑某些交换子群的中心化子—致于正规化子,得到了p-幂零群和p-闭群的若干充分条件。
2.
If the Sylow p-subgroup of a finite group is normal,call this group a p-closed group;a non-p-closed group is said to be minimal non-p-closed,if it possesses two non-p-closed proper subgroups which contain all of its non-p-closed subgroups.
若群G的Sylow p-子群正规,则称其为p-闭群。
4)  strictly π-closed groups
强π-闭群
1.
In this paper ,we research some properties of strictly π-closed groups and obtain some results on strictly π- closed groups.
研究了强π-闭群的一些性质,得到了强π-闭群的若干结果。
5)  minimal non-p-closed group
极小非p-闭群
6)  strong P-inversive semigroup
强P-反演半群
1.
In this paper, the concept of strong P-inversive semigroups is introduced and some characteristics of P-disjunctive strong P-inversive semigroups are described.
介绍了强P-反演半群的概念 ,刻划了P-析取强P-反演半群的某些特
补充资料:陪群公登箕山赋得群字
【诗文】:
许由去已远,冥莫见幽坟。世薄人不贵,兹山唯白云。
宁知三千岁,复有尧为君。时佐激颓俗,登箕挹清芬。
高节虽旦暮,邈与洪崖群。



【注释】:



【出处】:
全唐诗:卷882-9
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