二面体群

二面体群Dn与Zn上的一类全向置换

The Dihedral Group D_n and a kind of Omni_Direction Permutations on Z_n

二面体群上的HopfOre扩张及其代数结构

Hopf Ore Extension over a Dihedral Group and Its Hopf Algebra Structure

二面体群Dn上的H-圈的一个判别条件

A discriminate condition of h-cycle on dihedral groups

二面体群整群环的n次增广理想及其商群结构

Structure of powers of augmentation ideals and their quotient groups for integral group rings of dihedral groups

通过对二面体群、正n面体群等指标计算给出一系列组合计数问题的解答。

This paper give the resolution of a combinatorial calculating problems by ways of calculating the indexes of dihedral group and regular polyhedron group .

二面体群的小度数Cayley图的同构类的计数

Enumeration of Isomorphism Types of Cayley Graphs of Small Valencies on Dihedral Groups

根据分类，非Weyl群的不可约有限Coxeter群有二面体群I2（m）和群H3，H4。

Dihedral group ( I_2 ( m )) and Coxeter group of group H_3 , H_4 ) are noncrystallographic in irreducible finite Coxeter group .

同时也证明了三度二面体群上的Cayley图是有理的。

It is also proved that Cayley graph with 3 degree on a dihedral group is rational .

毫无疑问，系统的信号传输的时间延迟和空间结构（指关于二面体群Dn作用下的不变性）所引起的无限维性质研究是一项很困难的任务。

Needless to say , this is a very difficult task due to the infinite-dimensional nature of the problem caused by the synaptic delay and the possible spatial structure of the system ( equivariant with respect to a Dn-action ) .

讨论如何利用群的特征标表来刻画群的不变子群的方法，给出了2n阶二面体群的所有不变子群。

In this paper , we have discussed the application of the representation 's theory , especially about the method of applying the feature list of group to seeking to prove its constant sub-group , and depicted all the constant sub-groups of 2n-step dihedron group .

最后，讨论了与二面体群相伴的李超代数的结构。

Finally , structure of Lie superalgebra associated with dihedral group is discussed .

本文通过将二面体群作用在一些具体的阵列空间上，讨论阵列空间的对称性，计算二面体群所对应的循环指标，并且指出循环指标的一些应用。

Considering the action of dihedral group on some concret array spaces , this paper studies the symmetry of array space , computes the cycle index and points out some applications of cycle index .

文章先将二面体群作用于阵列的指标集上，计算出对应的循环指标，然后再考虑指标集到集合{0,1}上的映射。

First , this paper considers the action of dihedral group on set of indexes of array , computes the cycle index respectively , and then considers mappings from a set of index to the set { 0,1 } .