抽象群

1949年，Birkhoff在[1]中提出：任意抽象群可否有向序化？

In 1949 Birkhoff raised the question in paper [ 1 ] whether there exist a directed order on any abstract group .

另外一个量子物理学家们正忙于研究的纯数学问题，就是“抽象群”的发展。

Another related development in pure mathematics , which quantum physicists was now busy exploiting , was that of the ' abstract group . "

运用抽象群和置换群的理论得到：（1）如果有限群G共轭作用在它的所有极小子群上传递，G一定是循环p-群或广义四元数群；

Applying the theories of abstract groups and permutation groups , the following results are obtained : ( 1 ) If a finite group G acts transitively on all the minimal subgroups by conjugation , G is then a cyclic p-group or a generalized quaternion .

一类抽象群的有向序化问题

Problems of Directed Order on Some Abstract Groups

企业战略的抽象群及其演变论略

Strategy Cluster and Its Evolvement

艾森哈特院长是一个守旧的人，他甚至会在讲座上因为使用了现代的抽象群而道歉，但他是个很善良的人。

Dean Eisenhart was an old-fashioned figure , who in his lectures would apologise for using the modern abstract group , but very kind .

然而，即使对于本原群，其次轨道的决定也是一个非常困难的问题，它依赖于人们对抽象群本身结构的了解和一些组合方法的应用。

However , such a problem is very difficult in general , even for primitive groups and it depends heavily on the understanding of abstract groups and the application of combinatorial tools as well .

关于抽象半群紧吸引子的存在性和连通性

On the Existence and Connectedness of Compact Attractors of Abstract Semigroups

抽象代数中循环群的研究

Research on the Circulated Group in the Abstract Algebra

到了20世纪30年代，人们就可以抽象地研究“群”，不需要依靠任何实体表示。

But by the 1930s it was accepted that ' groups ' could be explored in the abstract , without any concrete representation or application in mind .