冪零群 的英文怎麼說

中文拼音 [mìlíngqún]
冪零群 英文
nilpotent group
  • 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
  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. In 1996, guo [ 9 ] has further proved that the index of the normalizer of every sylow subgroup of g is an odd number or a prime if and only if g is a soluble group and g = kh, where k and h are the hall subgroups of g, k is a nilptent subgroup which is normal in a 2 ' - nilpotent. in this paper, we shall study the nilpotent length of finite groups whose sylow normalizer indices are of prime powers

    1996年，郭文彬教授沙1證明了一個群g的西洛子群的正規化子的指數為奇數或為一個素數冪當巨僅當g為可解群而且g二尤廳，其中k和h都是群g的hall一子群， k是正規于g的一個2 』一月恤21子群的冪零子群， h是2一冪零群。
  3. In this aspect, kondrat ' ev [ ll ] has shown that a group g is 2 - nilpotent if the normalizer of each sylow subgroup of g is of odd index in g. in 1995, zhang [ 13jhas proved that a group g is soluble if the index of the normalizer of every sylow subgroup in g is a prime power

    1988年， kondrat 』 ev卜11證明了:如果群g的任意西洛子群的正規化子在g中的指數為奇數，則g是2一冪零的。 1995年， zhang卜習證明了如果群g的任意西洛子群的正規化子有素數冪指數，則g是可解的。
  4. 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。
  5. 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
  6. In this paper, the author goes on with the research of [ 1 ] and determines the structures of some groups in which some primary subgroups is s - normal

    在這篇文章中，我們將繼續文獻[ 1 ]的研究工作，利用素數冪階子群的s -正規性給出了一個群是可解群、 p -冪零和亞冪零群的一些條件結構。
  7. Connected nilpotent lie group

    連通冪零李群
  8. 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
  9. Some sufficient and necessary conditions of - nilpotent group

    冪零群的幾個充要條件
  10. Theorem 3. 10 if g is locally nilpotent group and c * - group, then g is baer nilpotent and hypercentral group

    定理3若局部冪零群g是c二群，則g是baer冪零而且是超限上中心群
  11. Theorem 3. 11 if g is torsion locally nilpotent group and c ( p ) - group, then the nilpotent class of g is at most 3

    定理3 11若周期的局部冪零群g是c 」 …卜群，則g的類最多為3
  12. So we can easily obtain nilpotent class of s * ( a *, c * ) - groups and the structure of their derived subgroup in the case of torsion and locally nilpotent group

    從而進一步得到了周期的局部冪零群的冪零類及導群的結構。
  13. Suppose that ( x ) is contain in v ( g ) for every element x of n with prime order, and suppose that ( y ) is semi - normal or c - normal in g for every element y of n with order 4, then g is nilpotent

    若n之極小子群含于v （ g ） ，且2 ~ 2階循環子群在g中或半正規或c -正規，則g是冪零群
  14. 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。
  15. 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。
  16. In particular, bryce, fedri, serens and guo ( [ 2 ] and [ 8 ] ) have studied the nilpotent length of the groups in nf, where is the class y of all supersoluble groups or the class nr of groups with nilpotent length r

    特別是， bryce ， fedri和serens以及郭（ [ 2 ]和[ 8 ] ）對n ~ f中的群的冪零長度作出了研究，其中是所有超可解群類y ，或者是冪零長度r的群類。
  17. 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
  18. In this paper, we replace the n normality with n subnormality in c - normal concept to get the weak c - concept. we generalize theorem 3. 4, 3. 5. in [ 1 ]. in this paper, the author gives sufficient and necessary condition of solvable group using the weak c - normality of maximal and sylow subgroup and gets some results about supersolvability and p - nilpotentlity of groups

    在這篇文章中，作者研究了弱c -正規的性質並用sylow子群和極大子群的弱c -正規性來確定一些群的結構，給出了一個群為可解群的充分必要條件，同時由極大子群、 sylow子群的弱c -正規性得到群gp -冪零、超可解的有關定理。
  19. 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
  20. ( 7 ) assume thatg has two nilpotent maximal subgroups not conjugate ing, which are weakly quasinormal ing, then g is nilpotent if and only if g has no section isomorphic to d, where d is identical with one in ( 6 )

    （ 7 ）若群g存在兩個不共軛的冪零極大子群均在g中弱擬正規，則g冪零當且僅當g與d型群無關，其中d型群的定義同（ 6 ）中d型群的定義。
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