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- Let G be an infinite group. If G has a normal elementary abelian subgroup, then G is irrecognizable. 设G是无限群;若G存在正规初等交换子群;则G是不可分辨的.
- In this paper, the author has investigated 2-group and has obtained the structures of one class of 2-group. Furthermore, the author gives an example that an infinite 2-group has an infinite abelian subgroup. 通过对 2 -群的研究 ;得到了一类 2 -群的结构 ;进而给出了一类无限 2 -群有无限的阿贝尔子群的例子 .
- In this paper we will study how abelian subgroups influent the structure of finite groups,there are four sections in our results. 本文的目的是研究交换子群对有限群结构的影响,主要结果共分四个部分。
- In the first section,namely 3.1,we obtained some description of the structure of some finite groups whose centralizers or normalizers of abelian subgroups satisfy some conditions. 在第一部分3.;1中,给出了若干由交换子群的中心化子或正规化子满足的条件所确定的有限群的结构描述。
- In the last section,namely 3.4,we mainly discuss how abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups. 本文第四部分3.;4,主要讨论了交换子群对有限群可解性的影响,得到了有限群可解的若干充分条件。
- The old farm has been split up into house lots. 这古老的农场已被划分为一块块的宅地。
- the finite generalized dihedral group D is an m - DCI group ifand only if the maximal abelian subgroup K of D is an m - DCI group with 2|K|. 有限广义二面体群D是m-DCI群当且仅当它的极大交换子群K是m-DCI群且2|K|.
- A skilled person can split slate into layers. 手巧的人能把板岩剖成片。
- I almost split my sides at his stories. 听了他讲的故事,我几乎笑破肚皮。
- It all happened in a split second. 这一切都是在顷刻间发生的。
- I split with my business partners. 我和事业的夥伴拆夥了。
- She split on her husband to police. 她向警方告发了她的丈夫。
- John has just split up with his girl-friend. 约翰刚刚跟女朋友吹了。
- The arrow just split the apple in half. 箭把苹果分成两半。
- My head feels as though it will split. 我的头疼得仿佛要裂开似的。
- The party split up into two groups. 这个党分成了两派。
- The sight made them split their sides. 这景象使他们笑死了。
- The two firms are going to split up. 两家公司要分道扬镳了。
- a maximal abelian subgroup 极大交换子群
- abelian subgroup 交换子群