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- Let G be an infinite group. If G has a normal elementary abelian subgroup, then G is irrecognizable. 設G是無(wú)限群;若G存在正規初等交換子群;則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. 通過(guò)對 2 -群的研究 ;得到了一類(lèi) 2 -群的結構 ;進(jìn)而給出了一類(lèi)無(wú)限 2 -群有無(wú)限的阿貝爾子群的例子 .
- 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換子群對有限群結構的影響，主要結果共分四個(gè)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，給出了若干由交換子群的中心化子或正規化子滿(mǎn)足的條件所確定的有限群的結構描述。
- 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，主要討論了交換子群對有限群可解性的影響，得到了有限群可解的若干充分條件。
- The old farm has been split up into house lots. 這古老的農場(chǎng)已被劃分為一塊塊的宅地。
- 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|. 有限廣義二面體群D是m－DCI群當且僅當它的極大交換子群K是m－DCI群且2|K|.
- A skilled person can split slate into layers. 手巧的人能把板巖剖成片。
- I almost split my sides at his stories. 聽(tīng)了他講的故事，我幾乎笑破肚皮。
- It all happened in a split second. 這一切都是在頃刻間發(fā)生的。
- I split with my business partners. 我和事業(yè)的夥伴拆夥了。
- She split on her husband to police. 她向警方告發(fā)了她的丈夫。
- John has just split up with his girl-friend. 約翰剛剛跟女朋友吹了。
- The arrow just split the apple in half. 箭把蘋(píng)果分成兩半。
- My head feels as though it will split. 我的頭疼得仿佛要裂開(kāi)似的。
- The party split up into two groups. 這個(gè)黨分成了兩派。
- The sight made them split their sides. 這景象使他們笑死了。
- The two firms are going to split up. 兩家公司要分道揚鑣了。
- a maximal abelian subgroup 極大交換子群
- abelian subgroup 交換子群
