查询词典 abelian summation

The integral group rings of finite abelian groups are of great importance in algebraic k-theory.

有限交换群的整群环是一类非常重要的环，计算它的相对K_1群在代数K-理论中具有重要的意义。

In this paper, two conclusions are obtained, one is the connection between the subgroups of and the factor groups of finite abelian groups, and another is the character conditions of the subgroups with normal compelement.

文章主要包括两个结果，一个是关于有限交换群的子群与同态像之间的联系，另一个是关于子群有正规补的一个特征标刻划。

Theorem 4.〓is abelian.

定理4。〓是交换的。

The main results are as follows.(1) Suppose that K is abelian and every Sylow subgrop S of K has a complement in a Sylow subgroup of G which contains S.

主要结果如下：(1)假设K是Abel群并且K的每个Sylow子群S在G之含S的Sylow子群中有补子群。

Thus given a positive integer N , by our algorithm we can find an abelian Cayley Digraph with degree 2 whose diameter is minimal.

因此， 对一个给定的正整数，用我们的算法可以找到一个直径最小的阿贝尔群上2度有向凯莱图。

In chapter 2, we investigate the structure of finite groups under the condition that all special subgroups are conjugate-permutable subgroups and obtain some sufficient conditions for solvability, Abelian property of finite groups.

第二章主要是利用一些特殊子群的共轭置换性得到了有限群成为可解群、交换群的一些充分条件，改进和推广了文[1]和[4]中的部分结果，有些结果是新的。

All Hamiltonian flows of the FDIHS arelinearized simultaneously on the Abelian varieties by using the generat-ing function approach.

本文藉助于母函数一举求得系统的流变量在Abel簇上的线性演化。

We investigate the phase transition s of Abelian lattice gauge theories at finite temperature with the variational cumulant expansion.

应用交分累积展开方法系统地研究了（2＋1）维和（3＋1）维的Z（2）、Z（3）、U（1）阿贝尔格点规范理论在有限温度下的相交。

The second part: We study the connection between a non-abelian finite p-group G and the number of conjugacy class of it .

第二部分，我们建立了非交换有限p-群G与其共轭类个数之间的关系，并且得到了较小阶的p-群G与其共轭类个数之间一种更简洁的相互决定关系。

A survey of duadic codes is presented firstly, necessary and sufficient conditions for the existence of nontrivial duadic abelian codes over Z_4 are presented secondly.

文中首先综述duadic码；其次给出了Z4上存在非平凡duadic阿贝尔码的充分必要条件；最后给出了Z4上劈分为μ-1的非平凡duadic阿贝尔码存在的充分必要条件，这些条件也是存在Z4上非平凡自偶阿贝尔码的充分必要条件。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。