查询词典 solvable equation

This paper discusses the influence of the θ-pairs associted to a famity of special maximal subgroups of a group on the group and establishes some necessary and sufficient conditions for a group to be solvable .

讨论有限群的一类特殊极大子群的θ-子群偶对该群可解性的影响，得到若干充要条件，推广了该方面已有的一些结论。

Starting from the definition of almost normal subgroup , the author gives some interesting results about almost normal subgroups and the sufficient conditions for a finite group to be solvable.

利用几乎正规的定义对有限群G作了一些研究，得到了几乎正规子群的一些性质，并给出了有限群为可解群的几个充分条件。

By using the c-supplementation of Sylow 2-subgroup and Sylow 3-subgroup, we obtain two sufficient and necessary conditions for a finite group to be solvable.

利用Sylow 2-子群和Sylow 3-子群的c-可补性得到有限群成为可解的两个充要条件，推广了几个已知的定理。

In this paper, the author gives sufficient and necessary condition of solvable group using the weak c-normality of maximal and Sylow subgroup and gets some results about supersolvability and p-nilpotentlity of groups

作者研究了弱c-正规的性质并用Sylow子群和极大子群的弱c-正规性来确定一些群的结构，给出了一个群为可解群的充分必要条件，同时由极大子群、Sylow子群的弱c-正规性得到群G p-幂零、超可解的有关定理。

Defined character degree's graph Г and proved that if Г is not connected then 2≤nl ≤4 for the Fitting height nl of solvable group G.

对有限群G，O.Manz等人定义了特征标次数图Γ，并且证明了：若Γ不连通，则可解群G的Fitiing高nl满足2≤nl≤4。

Thus we extend the works by Fan and Humphreys independently on polycyclicgroups.In section 3,we prove that 〓 if G is a solvable non-torsion group ofrank 3.This extends a result of McCutcheon who proved it only for polycyclicgroups.

在第3节里，我们讨论了秩3的可解群，证明了当这类群含有无限阶元时，其导出长度至多为6，但在挠群的场合，其导出长度是不能界定的，这推广了McCutcheon的一个结果。

In this paper, by using conditional cnormalityof some special subgroups(such as minimal subgroups, maximal subgroups, Sylowsubgroups, maximal subgroups of Sylow subgroups)of G, we obtain some sufficient or necessaryconditions for a finite group to be solvable, supersolvable, nilpotent. Some previouslyknown results are generalized.

本文结合有限群的某些特殊子群(如，极小子群，极大子群，Sylow子群，Sylow子群的极大子群)的条件c-正规性来研究有限群的可解性，超可解性，幂零性，得到了有限群可解，超可解，幂零的若干充分和充要条件，推广了有限群的一些结果。

Finite group; conditional c-normal; solvable group; p-supersolvable group; p-nilpotent group

基础科学，数学，代数、数论、组合理论有限群；条件c-正规子群；可解群； p-超可解群； P-幂零群

There are those of us who see it in terms of solvable problems.

我们这些人把它看做是可解决的问题。

For solvable problems, there's no need to worry

能解决的事，不必去担心。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。