nilpotent 中文意思是什麼

nilpotent 解釋
冪零的
  1. Theorem 3. 9 if g is locally finite p - group and c * ( p ) - group, then the nilpotent class of g is at most 3 and the derived subgroup of g is elementary abelian p - group

    定理39若局部有限屍群g是c 「卜群，則g的類最多為3且g 』是初等阿貝爾p群
  2. On idempotent and nilpotent matrices over commutative rings

    關于交換環上的冪等陣與冪零陣
  3. Convolution operators on two step nilpotent lie group convolution operators and its test function space

    卷積運算元類及其試驗函數空間
  4. 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
  5. 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。
  6. 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。
  7. 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。
  8. Almost nilpotent element

    殆冪零元素
  9. Connected nilpotent lie group

    連通冪零李群
  10. And element x=a is nilpotent.

    元素XA是冪零的。
  11. 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
  12. The enumeration of equivalence class of 3 - nilpotent matrices

    冪零矩陣的相似等價類的計數
  13. Some sufficient and necessary conditions of - nilpotent group

    冪零群的幾個充要條件
  14. 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
  15. 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
  16. 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。
  17. 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
  18. 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。
  19. 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。
  20. The construction of least radical without nilpotent element of ring

    環的最小無冪零元根的構造
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