Based on the assumptions of semi logarithmic relationship between coefficient of permeability and void ratio as well as the relationship between effective stress and void ratio of soil, the method of Lie Group Transformation is applied to solve the non linear partial differential equation of large strain consolidation of homogeneous saturated clay in semi infinite domain.
基于有效应力与孔隙比以及渗透参数与孔隙比之间的关系的一些假定 ,采用李群变换求解考虑材料非线性和几何非线性的半无限均质土体大变形固结非线性偏微分方程 ,得到了一个不考虑自重固结的完全解析解。
In the article we advance the concept of prolongation group of Lie transformation group in a visual and pithy way, and resolve the coefficient problem of prolongation operator.
本文提出积流形李变换群延拓群的概念，并应用纤维丛方法解决延拓群算子中的系数问题，进而讨论其在黎曼流形中的一个应用。
It is discovered that based on the prolongation group concept of Lie transformation group in a visual and pithy way,the resolved coefficient problem of the prolongation operator is used as a lemma by the fiber bundle method.
人们发现可以依据李变换群的延拓群概念,将运用纤维丛方法已经解决的延拓群算子中的系数问题作为引理,着重分析并求出真空Einstein方程所容许的群是解决上述问题的关键。
In this paper,we consider some abelian subgroups,such as abelian subgroups generated by two elements,elementary abelian subgroups,maximal abelian subgroups,cyclical subgroups,minmal subgroups,whose centralizers are equal to its normalizers,so we obtain some necessary and sufficient conditions of abelian groups and cyclic groups,and improve Zassenhaus Theorem and Chen Zhongmu,Theorem 0.
利用交换子群的中心化子和正规化子对有限群结构的强的控制作用,通过限制二元生成交换子群、初等交换子群、极大交换子群、循环子群、极小子群等的中心化子一致于正规化子,得到交换群和循环群的7个充分必要条件,改进了Zassenhaus定理和陈重穆在文献[2]中提出的定理0。
We prove that if G is also an abelian group, then the group is amenable.
当 G是交换群时 ,给出一种证明其顺从的方
We use the number of conjugacy class charactics Abelian group.
用群的共轭类个数刻画了交换群,同时用一个很简洁的方法重新证明了Frobenius G提出的一个著名问题:对于一个固定的数自然数n,共轭类数为n的有限群,在同构的意义下是有限的。
The groups of the solvable equations are commutative.
可解方程的群都是交换群。
Some Necessary and Sufficient Conditions of Abelian Groups and Cyclic Groups
交换群和循环群的若干充分必要条件
The order of the automorphism group of finite abelian group
有限交换群的自同构群的阶(英文)
Non-metacyclic p-groups All of Whose Maximal Subgroups are Minimal Non-abelian
极大子群都是极小非交换群的非亚循环p-群
Structure Classification of Hopf Path Coalgebras over Abelian Groups
交换群上Hopf路余代数的结构分类
Non-Abelian Subgroup of Order p~3 Contained in the Frattini Subgroup of p-Groups;
p-群Frattini子群中p~3阶非交换的子群
The Influence of the Order of Maximal Abelian Subgroups on the Structure of Groups
极大交换子群的阶对群的结构的影响
The Connection of the Locally Compact Commutative Semigroup and Infinite Closed Subsemigroup;
局部稠密的交换半群与无限闭子半群的关系
A Class of Commutative Groups or Matrices and Identities on the Basis of Formal Group Laws;
一类交换矩阵群和基于形式群法则的恒等式
Research and Applications in Cryptography Based on the Nocommutative Monoid;
非交换（壹）半群在密码学中的应用研究
Research and Realization of Centrex Service Providing in SoftSwitch;
基于软交换的集群业务的研究与实现
A New Cluster Management Scheme on Ethernet;
一种新的以太网交换机集群管理方案
Provable CPK-based Group Key Exchange Protocol
基于CPK的可证安全组群密钥交换协议
The Non-abelian Groups Such that All of the Non-abelian Nontrivial Subgroups Have Only One Nontrivial Character Subgroup
非交换的非平凡子群均有唯一非平凡特征子群的有限p群
A LIMIT THEOREM FOR CONVOLUTION ITERATES OF A PROBABILITY MEASURE ON COMPACT ABELIAN SEMIGROUP
紧交换半群上概率测度卷积幂的一个极限定理
A Sufficient Condition on Finite Group Having Normal Abelian π-complement
有限群有正规交换π-补的一个充分条件
The Full h-ideals of an Additively Inverse Semirings in Which Addition is Commutative and the Left Ideals of Some Ordered Semigroups;
交换逆半环的全h-理想及若干序半群的左理想
Softswitch Based Design of Call Control Unit in Digital Trunking System;
基于软交换的数字集群呼叫控制单元的设计