典型群

In this paper, after the introduction of the basic concepts and the main results on K〓 theory, relative K〓 theory and the theory of classical groups of degree 2 which is related to K〓 theory, we study the problems of the computation of K〓 for the ring of integers of quadratic imaginary fields, examples of subrings of quadratic fields which are not universal for GE〓 and generating set of the Cokernel of the canonical homomorphism from K〓 to K〓.

本文在介绍了K〓理论和相对K〓理论以及与K〓理论有关的2阶典型群的基本概念及主要成果之后，对于虚二次域代数整环的K〓群的计算，非GE〓泛的虚二次域的子环以及K〓到K〓的自然同态的余核的生成元集等问题进行了研究。

The second part of the chapter is concerned with the structure theory of the so—called classical groups

第二部分介绍所谓的典型群的知识

The author introduces and completely develops terminology and results relevant to classical groups.

笔者介绍和完全开发的术语和结果相关的典型群。

The research of K〓 and K〓 groups in algebraic K-theory is closely related to the study of classical groups.

代数K-理论中K〓和K〓群的研究同典型群的研究密切相关。

In Chapter 4,we focus on the structure of the rational invariant fields of the maximal subgroups and root subgroups of finite classical groups.

第四章在有限典型群的极大子群和根子群的有理不变式域方面做了一些讨论。

Isomorphism theory of classical groups Wan Zhexian et al., 1987

典型群的同构理论

In Chapter 1,we investigate BN-pairs of classical groups over local rings.We construct the BN-pairs arising from classical groups of linear,orthogonal and symplectic type over local rings.

本文主要研究局部环上典型群的BN-对，二面体群的BN-对和不变式环，有限域上典型群的极大子群和根子群的有理不变式域的结构。

Applying partition of positive integers and Anzahl theorem of subgroups of classical groups, a class of authentication codes was obtained and all parameters of this scheme were computed. Simultaneously, supposing that the secret key was chosen according to the uniform probability distribution, security analysis of the scheme was given.

利用正整数的无序分拆及典型群子群的计数定理得到了一类认证码，计算出了全部参数，并给出了密钥等概率选取时的安全性分析。

Furthermore,we consider the relations between the general linear groups and the corresponding BN-pairs and show that they satisfy a commutative diagram of groups.In Chapter 2,we study the structure of unitary groups over finite group rings R and its applications.

第一章考虑任意局部环上典型群的BN-对问题，构造了局部环上一般线性群、辛群、正交群的BN-对，并且证明了局部环上一般线性群与对应的BN-对之间满足群交换图关系。

The classical group theory is an important research branch of group theory, and Unitary group is one kind of such important classical group.

典型群理论是群理论的重要组成部分，酉群是一类重要的典型群。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了