- The number of elements in a finite group. 次数一个有限群中的元素个数
- 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。
- 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。
- 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。
- 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。
- By using NE-subgroup, some new criteria are given for the nilpotency and solvability and supersolvability of finite groups. 给出了有限群的幂零性、超可解性和可解性的一些新的刻画。
- MacHale in[3]. We consider the finite groups such that |Aut X|=p~2q,here p
MacHale[3]中的研究;考虑满足|Autx|=p~2q 的有限群 X;这里 p
- In this paper we will study how abelian subgroups influent the structure of finite groups,there are four sections in our results. 本文的目的是研究交换子群对有限群结构的影响，主要结果共分四个部分。
- 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。
- Using some conjugate-permutable subgroups of a group and the minimal counterexample method,the nilpotency of finite groups is investigated. 利用群的某些共轭置换子群及极小阶反例法,研究了有限群的幂零性问题,并获得了一个群为幂零的若干充分条件。
- 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；
- Su Xiang Ying and Wang Pin Chao obtained some sufficient conditions of supersoluble groups by studying semi normal subgroups of finite groups[1,2,7]. 文献[1]引入的半正规子群;对有限群结构有重要的影响[1;2;7].;从多个方面对这一问题进行了更深入讨论;所得结果推广了前人的一些工
- In this paper, the structures of the finite groups in which every maximal subgroup is either abelian or normal are characterized. 摘要刻画了所有极大子群皆交换或正规的有限群的结构。
- A cryptosystem utilizes the properties of discrete logs in finite groups, either in a public key message exchange or in a key exchange and generation protocol. 加密系统在公钥消息交换或密钥交换及协议生成中利用有限组中的离散对数属性。
- 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。
- We give a short proof of the main theorem of the paper "On complemented subgroups of finite groups,chin.Ann of Math,22B:2(2000),249-254",and generalile it to formation. “给出文Oncomplementedsubgroupsoffinitegroups;Chin .;Ann
- In the first section,namely 3.1,we obtained some description of the structure of some finite groups whose centralizers or normalizers of abelian subgroups satisfy some conditions. 在第一部分3.;1中，给出了若干由交换子群的中心化子或正规化子满足的条件所确定的有限群的结构描述。
- In the last section,namely 3.4,we mainly discuss how abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups. 本文第四部分3.;4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。
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