1) A class of solvable group
一类可解群
2) solvable group
可解群
1.
Sufficient and necessary conditions for supersolvable group;
超可解群的若干充要条件
2.
A class of character graph of finite solvable groups;
关于可解群的一类特征标图
3) soluble group
可解群
1.
In this paper,the π normalizers of π soluble groups were discussed,some relationship between π normalizers and π abnormal subgroups was obtained,and some worthful results were produced.
研究了π－可解群的π－正规化子，揭示了π－可解群的π－正规化子与π－反常正规子群之间的相互关系，并由此得到了一系列有意义的结果。
2.
In this paper,by using the supplemented subgroups,p-supersolubility of finite soluble groups has been studied.
利用可补充子群的性质研究了有限可解群的p-超可解性,特别地,给出了可解群G为p-超可解群的一个充分必要条件。
4) supersolvable group
超可解群
1.
Sufficient and necessary conditions for supersolvable group;
超可解群的若干充要条件
2.
Using the weakly c-normality of minimal subgroup of to characterize the structure of a finite group,some sufficient conditions of finite supersolvable group are obtained.
利用极小子群的弱c-正规性刻画了有限群的结构,得到了有限超可解群的若干充分条件;从群系理论出发,得到了包含超可解群类的饱和群系的充分条件,并推广了一些已知结果。
3.
In this paper we prove:Let F be a saturated formation containing U,the class of all supersolvable groups and suppose that G is a group with a normal subgroup H such that G/H∈F.
本文证明了:设F是一个包含超可解群系U的饱和群系,G有一个正规子群H使得G/H∈F。
5) p-solvable group
p-可解群
1.
Given a p-solvable group G and an irreducible Brauer character χ of G with respect to the prime p.
给定一个p-可解群G以及G的一个关于该素数p的不可约B rauer特征标χ。
2.
Using the properties of solvable groups and the basic theorems of finite groups,and utilizing the partly analytical method,the properties of some subgroups of p-solvable groups and the action on subgroups are studied.
利用可解群的性质和有限群的基本定理,通过局部分析方法研究了p-可解群中一些子群的性质及子群间的相互作用,并着重考察了Op′(G)=1的情况,得到了关于p-可解群的一些结论。
3.
In this paper we research the basic property and the action on subgroup of solvable groups,in p-solvable groups we especially consider it in the case O_(P )(G) = 1 in p-solvable groups.
本文考察了可解群的基本性质及一些子群的相互作用，在p-可解群中，着重考察了当O_(p′)(G)=1时的情况。
6) supersoluble group
超可解群
1.
The completely conditional permutability of minimal subgroups is used in this paper to obtain the sufficient condition for supersoluble groups: let G be a finite group, if every minimal subgroup and every cyclic subgroup of order 4 of G is completely c-permutable in G, G is supersoluble.
利用极小子群的完全条件置换性给出了超可解群的一个充分条件 :设 G是一个群 ,如果 G的每个极小子群和每个 4阶循环子群都是 G的完全条件置换子群 ,则 G是一个超可解
2.
Using the concept,X-permutable subgroup of finite groups,two sufficient conditions of supersoluble groups are obtained:(1) G is a soluble group,let X be a subgroup of G such that X contains every maximal subgroup and every minimal subgroup of G.
如果G的每个极大子群和G的sylow子群的每个极大子群在G中X-可换,那么G是超可解群;(2)设K■G,X是G的子集且包含G的p-子群。
3.
In this paper,by using the concept of permutable subgroups,a new criterion of supersolubility of the product G=AB of finite supersoluble groups A and B is given.
利用子群的可置换性,给出了两个超可解子群A和B的乘积仍为超可解群的一个判别准则。
补充资料：一类
【一类】
（杂语）彼此相似也。唯识述记七末曰：“一类者是相似义。”
（杂语）彼此相似也。唯识述记七末曰：“一类者是相似义。”
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条