网络释义 1. 群乘积表 我们可以藉由群乘积表(Group multiplication table)或简称群乘 表,很清楚的看到这 6 个元素是可以形成一个对称群的,如表 … ja.scribd.com|基于2个网页
GroupMultiplicationTable[group] 将group的乘法表以数组的形式给出. 更多信息 范例 打开所有单元 基本范例(1) 下面是一个阶数为 8 的群: In[1]:= Out[1]= 下面是所有元素对的相乘,编号来自GroupElementPosition返回的结果: In[2]:= 生成这个群的所有 8 个置换: ...
group multiplication tableCayley tableMoufang loopright divisionThe variety of quasigroups satisfying the identity (xy)(zy) = xz mirrors the variety of groups, and offers a new look at groups and their multiplication tables. Such quasigroups are constructed from a group using right division instead ...
If L is a Latin square, which satisfies the quadrangle criterion (that is, is isotopic to the multiplication table of a group) and, which possesses ... J Dénes,AD Keedwell - 《Annals of Discrete Mathematics》 被引量: 0发表: 1991年 加载更多来源...
In this chapter, we are going to study the following:(i)The elements of group theory.(ii)Types of groups, order of the group, classes, and other related aspects.(iii)Construction of group multiplication tables for all crystallographic point groups using both International and Schoenflies notations...
An easy and important way to display the product of the group elements is by way of a multiplication table. In multiplication tables each element of the group appears only once in each row and in each column. Inverse of a product implies that the reciprocal of the product of several group...
8.an algebraic system that is closed under an associative operation, as multiplication or addition, and in which there is an identity element that, on operating on another element, leaves the second element unchanged, and in which each element has corresponding to it a unique element that, on...
For a one-parameter group with elements A(α), the multiplication table A(γ) = A(β)A(α) becomes a functional relation determining γ from α and β, say γ = f(β, α). The continuity requirement means that f(β, α) must be a continuous function of both variables. If f can...
Abelian group 2 Multiplication table To verify that a finite group is abelian, a table (matrix) - known as a Cayley table - can be constructed in a similar fashion to a multiplication table. If the group is G = {g1 = e, g2, ..., gn} under the operation ?, the (i, j)'th ...
摘要: A concise program is presented which constructs, starting from a given set of permutations, the whole resulting group and yields information about classes of conjugated elements, subgroups, the multiplication table and factor groups.关键词: NUCLEAR ATTRACTION INTEGRALS EXPONENTIAL-TYPE ORBITALS ...