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- In [4], the authors have proved that if a locally finite group is a core-finite, then it is abelian-by-fmite. 文[4]证明了局部有限的Core-有限群是abelian-by-finite。
- locally finite group 局部有限群
- The number of elements in a finite group. 次数一个有限群中的元素个数
- In this paper the local compactness of the nonempty closed subsets hyperspaces with locally finite topology is discussed. 摘要本文讨论了赋予局部有限拓扑的非空闲子集超空间的局部紧性。
- By the properties of CI-section for maximal subgroups of G, the solvability of normal subgroup H of finite group G were investigated. 摘要应用有限群极大子群的CI-截性质，讨论有限群G之正规子群H的可解性，得到4个重要结论。
- Igor Shafarevich proved that every solvable finite group is the Galois group of some extension of Q . 这在经典框架中并不成为问题，因为这时总是可以假定为特征0的；
- The present thesis essentially aims at generalizing one theorem about the complete group in the finite group theory up to the infinite abelian group. 本文中心,是将有限群论中关于完全群的一个定理推广到无限Abel群。
- It is easy to prove that the irreducible representation of finite group satisfies orthogonal relation through the usage of Schur Lemma. 摘要利用舒尔引理，很容易证明有限群的不可约表示满足正交关系。
- Let A be a symmetrizable generalized Cartan matrix, g(A) thecorresponding Kac-Moody algebra, then a subalgebra h of g(A) is a split Cartan subalgebra if and only if there is a regular locally finite element x such that h=g 0(adx). 设A为一可对称化广义Cartan矩阵 ;g(A)为对应的Kac_Moody代数 ;则 g(A)的子代数h为可裂Cartan子代数的充分必要条件为存在正则局部有限元x ;使得h =g0 (adx) .
- The transitivity of a finite group on the conjugates of some minimal subgroups influences or determines the structure of the group. 有限群在某个极小子群共轭类上的某种传递性影响或决定群的构造。
- It is easy to construct field extensions with any given finite group as Galois group, as long as one does not also specify the ground field. 进一步的解释和例子请参见关于伽罗瓦群的文章。
- The transitivity of s finite group on the conjugates of some minimal subgroups influences or determines the structure of the group. 有限群在某个极小子群共轭类上的某种传递性影响或决定群的构造。
- This paper deals with some kinds of weakly quasinormal subgroups to obtain a series of sufficient conditions which imply a finite group to be supersolvable. 摘要利用弱拟正规子群，得到有限群成为超可解群的一系列充分条件。
- In this paper, we investigate some basic properties of the noncommuting graph associated with a finite group and their effects on the structure of the group. 本文主要研究了有限群的非交换图的一些基本性质及其对群结构的影响。
- sigma locally finite family of subsets 子集的局部有限族
- DING Shi-feng.Transitirity of a finite group on the conjugates of some minimal subgroups[J].J of Zhejiang University (Science Edition ), 2004,31 (1):7-9. [9]丁士锋.;有限群在某个极小子群共轭类上的传递性[J]
- sequentially locally finite collections 序列局部有限集族
- The automorphism group of the direct product of n finite groups is studied and its matrix expression is obtained. 如果图的自同构群分别在图的边集合和点集合上传递,分别称图是边传递的和点传递的。
- The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got. 通过半直积的性质来研究有限群的幂零性,并得到一些好的结果。
- This paper studies problem of the average length of conjugacy classes of finite groups. 摘要本文研究有限群元素共轭类的平均长度问题。
