Satellite; Layout; Optimization Algorithm; Symmetric Group; Equivalent Relation; Isomorphism.
人造卫星；布局；最优化算法；对称群；等价关系；同构
In this part, we will study some basic and important concepts such as semi-group, group, isomorphism, homomorphism, subgroup, invariant subgroup, factor group, and transformation group.
本部分考虑的主要概念有半群、群、同构、同态、子群、不变子群、商群以及变换群等。
Group, Subgoup, Permutation Group, Cyclic Group, Commutative Group, Normal Subgroup, Factor Group, Isomorphism, Ring, Ideal, Field, Polynomial Ring, Factor Ring.
课程内容：群，子群，置换群，循环群，交换群，正规子群，商群，群之同构，环，理想，体，多项式环，商环等。
There exists conceptual isomorphism between Ba Jin's " Family Story " which is represented by Family and his " Group Story " which embodies anarchism.
巴金以《家》为代表的“家庭故事”小说与其早期直接反映其“安那其”主义的“团体故事”之间存在观念上的同构性。
In 1911, M. Dehn gave three fundamental problems in combinatorial group theory: word problem, conjugacy problem and isomorphism problem.
1911年，M.Dehn提出了组合群论的三个基本问题，即：字问题、共轭问题、同构问题。
Isomorphism of group gl_3 (2) and group psl_2 (7)
群GL3（2）和群PSL2（7）的同构（英文）
A kind of fuzzy binary operation and fuzzy homomorphism fundamental theorem are used. Then we discuss the isomorphism of fuzzy groups and established three fuzzy theorems of isomorphism. The new kind of group with new operation is deeply described.
利用一种新的模糊算子与模糊同态基本定理，进一步讨论了模糊群的模糊同构，建立了三个模糊同构定理，进一步刻化了带有这种新的算子的模糊群的结构，得到了若干命题。
When regarding the isomorphism problem of the Cayley graph, it can be divided into two aspects: the first aspect explores when the Cayley graphs within a group are isomorphic;
Cayley图的自同构问题分为两方面：一方面是探索一个群的Cayley图何时同构；
On the isomorphism of BA jin's " family story " and " group story "
论巴金“家庭故事”与“团体故事”的同构性
Square - free order of the group with six isomorphism classes
具有6个同构类的群的无平方因子的阶
The concept of anti quotient group is introduced and properties of the anti quotient group, the anti homomorphism and the anti isomorphism as properties of the quotient group and homomorphism and isomorphism are obtained.
引入了反商群概念，利用反商群、反同态、反同构等概念得到了一系列与群同态、同构完全相应的性质。
The n-th exterior power of every group is unique under the sense of isomorphism;
在同构意义下，群的n次外幂是唯一的；
He authors give a theorem related to the number of double cosets of finite groups under some conditions and prove a isomorphism theorem of double group of quotients.
给出了在特定条件下有限群双重陪集的个数定理和双重商群的概念，并证明了双重商群的同构定理。
On the isomorphism of BA jin's " family story " and " group story "
论巴金“家庭故事”与“团体故事”的同构性