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- The number of elements in a finite group. 次数一个有限群中的元素个数
- 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。
- 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。
- 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。
- 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。
- 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]
- 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。
- Recently, Mingyao Xu and Qinhai Zhang make some further study of conjugate permutable subgroups, especially ECP-groups, in "On conjugate permutable subgroups of a finite group" (to appear). 最近,徐明耀和张勤海在《On conjugate permutable subgroups of a finite group》(待发表)对共轭置换子群,特别是ECP-群作了进一步研究。
- 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。
- Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups. 建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
- In this paper we have shown that if G is a finite group, R a G-graded ring and W an R-module then W is a Noetherian R-module iff W is a Noetherian R(e)-module, aud the Noetherian R-module is equal to the Noetherian R(e)-module about W. 本文证明了:当G是有限群时;G-分级环;R-模W是Noether模与W是NoetherR(e)-模等价;且相同.
- Graph theory, finite group acting on sets, orbit and equivalent relation are used to discuss the layout structure of networks for heat exchange, and a feasible optimization algorithm is given. 应用图论、有限群对集合的作用、轨道与等价关系等刻划了换热网络布局结构，并给出了可行的优化算法。
- For certain finite group with a perfect normal subgroup, this paper discusses the problem of its augmentation ideals and quotient groups. 摘要本文研究了一类具有完全正规子群的有限群之增广理想及增广商群结构的问题。
