查询词典 solvable ideal

Is a solvable group.

是可解群。

Linear equations the main issues discussed are:① When a group of equations solvable.

线性方程组主要讨论的问题是：①一个方程组何时有解。

Theorem 3.2 Let G be a solvable finite group.

定理3.2 设G为有限可解群。

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。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。