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1)  Fitting class
Fitting类
1.
Some properties about the class of π-close-Sylow-tower groups are obtained as follows by deducing the characters of π-close-Sylow-tower groups: Class of π-closed-Sylow-tower groups is S-closed, Sn-closed, H-closed, D-closed, R0-closed and N0-closed, so the class of π-closed-Sylow-tower groups is a saturated formation and a Fitting class.
并由此推出 ,π-闭 -Sylow塔群类是一个饱和群系且为一个 Fitting
2.
The classing property of three classes of groups is discussed in this paper, moreover we prove that they are all Fitting classes, and we furtherly discuss p-nilpotent class of group N p-one of three classes of groups, as a result, we prove that N p is a saturated formation and N p class of groups is a p-split formation.
考察了三个群类的类属性,证明了这些群类都是Fitting类,并对其中一个群类p-幂零群类Np 作了进一步的讨论,证明了Np 是饱和群系。
2)  Fitting height of a group
Fitting高
1.
In this paper, we determinate the structure of groups of order 4pq, p2q2 ( p < q are oddprimes )by utilizing the characters of Fitting height of a group and the theory of group extension .
本文利用有限群的构造知识及Fitting高的特性,解决4pq,p~2q~2阶有限群的构造。
3)  Fitting height
Fitting高
1.
We say that the conjugacy class graphΓ~* has bounded Fitting height if there is a bound on the Fitting heights of the solvable groups whose conjugacy class graph isΓ~*.
第二章讨论可解群的共轭类图与其Fitting高的关系。
2.
By a definition of Lewis in [3], a degree graphΔhas bounded Fitting height if there is a bound on the Fitting height for the solvable group G withΔ(G) =Δ.
Lewis在文[3]中定义了Fitting高有界的特征标维数图Δ(G)。
4)  Fitting subgroup
Fitting子群
1.
On the base of paper[1],this paper decide the generation relation of group,by finding the order of automorphism group of Fitting subgroup of group G.
利用矩阵的有理标准形作为工具,通过找出有限群G的Fitting子群的自同构的阶来确定群G的生成关系。
2.
A sufficientcondition forsupersolvable group depending on the propertyπ-quasinormal of its Fitting subgroup isgiven.
通过讨论有限群的 Fitting子群的极小子群的 π-拟正规性 ,利用有限群的正规群列及多种有限群论的方法和技巧 ,得到了一个有限的可解群成为超可解的充分条件 。
3.
By the characters of Fitting subgroup and extending theorems of subgroup ,the author shows the structure of a kind of nonAbelian groups.
利用Fitting子群的特性及子群的扩张原理 ,证明了一类非交换群的构造即 2 3P(P =3,7)阶群的构造 :① 2 3·7阶群共有 13型 ;② 2 3·3阶群共有 15型 。
5)  Fitting's operator
Fitting 算子
6)  Fitting subgroups
Fitting子群
补充资料:pipe fitting(s)
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