有限冪零群 的英文怎麼說

中文拼音 [yǒuxiànmìlíngqún]
有限冪零群 英文
finite nilpotent group
  • 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 冪 : Ⅰ名詞1. [書面語] （覆蓋東西的巾） cloth cover2. [數學] （表示一個數自乘若干次的形式） power Ⅱ動詞[書面語] （覆蓋; 罩） cover with cloth
  • 零 : Ⅰ數詞1 （零數） zero2 （數的空位） zero sign （0）; nought 3 （表示沒有數量;無） nil; nought 4 （...
  • 群 : Ⅰ名詞（聚在一起的人或物） crowd; group Ⅱ量詞（用於成群的人或物） group; herd; flock
  • 有限 : limited; restricted; finite; a little; not much
  1. Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer

    4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2
  2. By using the properties of - hypercenter and - homogeneous, some sufficient and necessary conditions for a finite group to be - nilpotent are obtained. and some well - known theorems are generalized

    摘要利用-超中心和-齊次性的性質，對-冪零群作了較詳盡的研究，得到了有限群為-冪零群的幾個充要條件，推廣了一些著名的定理。
  3. The finite group that the order of maximal nilpotence subgroups are prime power

    極大冪零子群的階為素數冪的有限群
  4. In section 4, in the case of finite and infinite non - nilpotent we mainly study the soluble structure of s ( a, c ) - groups

    最後主要研究非冪零的4 … …卜群，在有限和無限條件下得到了一些可解結構
  5. It is important to study the structures of finite groups by combining some subgroups with some properties in the researches on finite groups. in this paper, we discuss the following : ( 1 ) the relations between the - pairs of maximal subgroups and c - normality, weak c - normality, s - normality, the normal index of maximal subgroups ; ( 2 ) some results on solvablity of finite groups that are obtained by using the s - normality of subgroups ; ( 3 ) the - pairs of general proper subgroups of finite groups as the generalization of the - pairs of maximal subgroups that is used to describe c - normal subgroups, weak c - normal subgroups and s - normal subgroups, by which some new results on finite groups are obtained ; ( 4 ) some new results on p - quasinilpotent groups and p * - nilpotent groups

    本文在前人的基礎上，討論了以下內容： （ 1 ）極大子群的子群偶和c正規性、弱c正規性、 s正規性、正規指數之間的關系； （ 2 ）利用s正規性得到了關于有限群可解性的幾個結果； （ 3 ）將極大子群的子群偶推廣為有限群的一般真子群的偶，證明了有限群的c正規、弱c正規以及s正規子群都可以用一般真子群的偶來描述和幾個新的結果； （ 4 ）研究p擬冪零群和p ~ *冪零群，得到了一些新的結構定理。
  6. The realionships between the subgroups of a finite group g and the group g itself have been extensively studied in the literature

    西洛群的正規化子有素數冪指數的有限群的冪零長度的界有限群g的子群和群g本身的關系已經被廣泛的研究。
  7. Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree

    素數階群按樹上有限交換冪零半群的單純理想擴張
  8. Maximal nilpotent subgroups of linear groups over finite commutative rings

    有限交換環上線性群的極大冪零子群
  9. We define the concepts : weakly quasinormal subgroup and s - weakly quasinormal subgroup and come to some new criteria of solvability, supersolvability and nilpotence of finite groups under the assumptions that the groups have some kinds of weakly quasinormal or 5 - weakly quasinormal subgroups

    本文利用弱擬正規子群及s -弱擬正規子群來研究有限群的結構，得到了有限群的可解性、超可解性以及冪零性的一些新刻畫。
  10. At the same time, we get some new characterization of supersolvable and nilpotent groups by introduce the new concepts of u ( g ) and v ( g ). the following theorems are some of the main results in this thesis. 1

    特別地，引進群g的兩個特徵子群u （ g ）及v （ g ） ，用這兩個子群來刻劃有限群的結構，得到了有限群超可解，冪零的一些充分條件，減弱了某些已知定理的條件
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