isomorphism theorems of group theory

This paper investigates the properties of quotient spaces and obtains the first, second isomorphism theorems and homomorphism foundamental theorem.

研究了商空间的性质,给出了有关商空间的第一、第二同构定理和同态基本定理,作为应用,证明了高等代数中的两个著名的维数公式是它们的直接推论。

As an application of Chinese remainder theorem in IS-algebras, an isomorphism theorem in IS-algebras is given.

作为 IS-代数上的中国剩余定理的应用 ,同时给出了一个 IS-代数的同构定理。

In this paper ,fuzzy subalgebra and fuzzy quotient algebra are introduced,Isomorphism theorem of algebras over fuzzy fields is proved\

引进了模糊子代数及模糊商代数的概念 ,并证明了模糊域上的模糊代数的同构定

If f(n) is the number of isomorphism classes of groups with n order, for a given integer k, then to find the integer n satisfied with f(n)=k is said to gain a solution of the equation f(n)=k.

对群计数公式的研究是有限群理论中有着重大意义的问题,设f(n)是n阶群的同构类数目,对于给定的整数k,去寻找满足f(n)=k的整数n,叫做求方程f(n)=k的解。

Invariant Radicals of Rings under Isomorphism of Multiplicative Semigroup of Rings;

在环的乘法半群的同构下根的不变性

Automorphisms of the Maximal Unipotent Subgroups of Ree Group and Suzuki Group;

Ree群、Suzuki群的极大幺幂子群的自同构

The Construction of Group G with Automorphism Group A(G) of Order 2p

自同构群A(G)的阶为2p的群G的结构

LA-Group and the Stractore of Auto-Morphism Groups of Some Special p-Groups;

若干LA-群及一类特殊P-群自同构群的结构

Automorphisms of Finite Groups Inducing Inner Autormorphisms of Integral Group Rings

诱导整群环上内自同构的有限群的自同构

Automorphism and Anti-automorphisms of Quantum Group

量子群V_q(sl(2))的自同构和反自同构

The order of the automorphism group of finite abelian group

有限交换群的自同构群的阶(英文)

The Orders of Automorphism Groups of Groups of Order P～6 (φ_(11),φ_(33));

P～6阶群的自同构群的阶（φ_（11）,φ_（33））

THE ORDERS OF AUTOMORPHISM GROUPS OF GROUPS OF ORDER p5;

p～5阶群的自同构群的阶（Φ_6—Φ_（10））

Automorphisms of the unipotent subgroup of the Chevalley group over the integral ring;

整数环上Chevalley群的幺幂子群的自同构

A New Series of LA-Groups and the Order of Their Automorphism Groups

一系列新的LA-群及其自同构群的阶

Approach of Calculating the Order of Automorphism Group of p-Group

计算有限p-群的自同构群阶的方法

The Finite Groups of which the Automorphism Group s Order is 2～3p～2;

具有2～3p～2阶自同构群的有限群

ISOMORPHISM OF GROUP GL_3(2) AND GROUP PSL_2(7);

群GL_3(2)和群PSL_2(7)的同构(英文)

Finite Nilpotent Groups with Automorphism Group of Order 4p~3

具有4p~3阶自同构群的有限幂零群

Finite nilpotent groups with automorphism group of order 4p~2q

具有4p~2q阶自同构群的有限幂零群

On the Autmorphism Groups of Metacyclic p-group with a Cyclic Maximal Subgroup

具有循环极大子群的亚循环p-群的自同构群

An Action from Automorphism Group on Actor Group to Characteristic Group

自同构群到对特征子群的商群上一作用