可解群

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Brauer特征标χ。

Given a p - solvable group G and an irreducible Brauer character χ of G with respect to the prime p.

利用[1]中定义的π-局部群系Fπ，得到了有限π-可解群的Fπ-覆盖子群的一些结果。

In this paper , we obtain some results of F π - covering subgroups of a finite π - solvable group by using the concept of π - local formation in .

非极大真子群p－直分群的有限非可解群

Finite Non-solvable Groups in Which Every Non-maximal Proper Subgroup is p-direct Decomposable

有限可解群的Fuzzy子群的阶数及其等价类数

On the Number of Equivalent Classes of Fuzzy Subgroups of a Finite Solvable Group

特别地，给出了可解群为p超可解群的一个充分条件。

In particular , a sufficient condition under which a soluble group G is p-supersoluble is obtained .

P－超可解群的若干充分条件

Sufficient conditions of p-supersolvable group

将关于可解群G的导长的界的定理改进为：G是可解群。

A theorem about bounds for the derived length of soluble group G is improved .

关于有限可解群的Fitting子群的阶

On Orders of Fitting Subgroups of Finite Solvable Groups

Irr（GN）与可解群的结构

Irr ( G | N ) and the Structures of Solvable Groups

此外，如果这些补的Fitting子群是循环群，则G为超可解群。

Moreover , if the Fitting subgroups of these complements are cyclic , then G is supersolvable .

n&可解群的Hall定理

Hall Theorem of n-Solvable Group

定理4.5若局部可解群G是C＼卜群，则G的主因子是初等阿贝尔的。

Theorem 4.5 If locally soluble group G is C ( w ) - group , then the chief factor of G is elementary abelian .

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。

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 .

在这篇文章里，我们主要讨论了C2-群（定义见正文）的构造，得到了若干基本结果，它们平行于超可解群的已知理论。

In this paper , we discussed mainly the structure of C2-groups ( which will be defined in the text ) and obtained some basic results that are parallel to the known theory about suppersolvable groups .

其主要结果是：1。设G是满足置换条件的有限可解群，则G是超可解群当且仅当如下条件之一成立。

The main results are the following : 1.Let G be a finite solvable group satisfied permutizer condition , then G is a supersolvable group if and only if one of the following conditions is true .

研究Sylow子群的极大、极小子群与超可解群之间的关系。

To discuss the relations between the maximal or minimal subgroups of sylow subgroups and supersolvable groups .

首先证明了PNC群是介于幂零群与2闭群之间的一类可解群。

Firstly , we prove that PNC groups are solvable groups whose properties are between nilpotent groups and 2-closed groups .

通过引入πSylow系与π系正规化子的概念，将可解群的Sylow系理论作以推广。

The Sylow system theory of solvable group is generalized by introducing the concepts of π - Sylow system and π - system normalizer .

本章运用了可解群G的π-Hall子群的相关理论，在给定的条件下，将有限群的Sylowp-子群、p-子群的正规化子的两个结果推广到π-Hall子群的情形。

Let G be a solvable group . In this paper , we use the theory of the π - Hall subgroups to characterize the Sylow p-subgroups , p-subgroups of group G. Some previously known results are generalized .

关于π-可解群的π-Sylow系理论

On π - Sylow System Theory of π - solvable Group

特征标次数的重数与可解群结构

Multiplicity of Character Degrees and the Structure of Solvable Groups

可解群的中心化子的阶的一个性质

A Prperty of the orders of centralizers o Solvable groups

π-可解群的广义π-Frattini子群

General π - Frattini Subgroups of π - Solvable Group

与极小非超可解群有关的群的不可约表示

Irreducible Representations of the Groups Relating to Minimum Unsupersolvable Groups

c~-正规子群对超可解群结构的影响

The influence of c-normal subgroup on the structure of super solvable group

无限可解群的强剩余有限性

The strongly residually - finite properties of some infinite soluble group s

有限生成的无限可解群的多余子群

The Superfluous Subgroups of a Finitely-generated Infinite Soluble Group

一类π－可解群的π－性质

Some Properties of A Class of π Soluble Groups

π-可解群的π-正规化子（续）

π Normalizers of π Soluble Groups ( Continue )

有限可解群的特征标次数与幂零长

Character Degrees of Finite Solvable Groups and Nilpotent Length