幂零群的英文

• nilpotent group

• "幂零"英文翻译    nilpotent
• "群"英文翻译    crowd; group
• "有限幂零群" 英文翻译 :    finite nilpotent group
• "零群" 英文翻译 :    nilpotent group
• "幂零" 英文翻译 :    [数学] nilpotent◇幂零代数 nilpotent algebra
• "超幂零" 英文翻译 :    hyper-nilpotent
• "幂零的" 英文翻译 :    nilpotent
• "幂零核" 英文翻译 :    nilpotent kernel
• "幂零环" 英文翻译 :    nilpotent ring
• "幂零类" 英文翻译 :    nilpotent class
• "幂零元" 英文翻译 :    nilpotent
• "殆幂零元素" 英文翻译 :    almost nilpotent element
• "广义幂零类" 英文翻译 :    generalized nilpotent class
• "局部幂零的" 英文翻译 :    locally nilpotent
• "连通幂零" 英文翻译 :    connected nilpotent
• "幂零半群" 英文翻译 :    nilpotent semigroup
• "幂零变换" 英文翻译 :    nilpotent transformation
• "幂零长度" 英文翻译 :    nilpotent length
• "幂零代数" 英文翻译 :    nilpotent algebra
• "幂零根基" 英文翻译 :    nil radical; nilpotent radical
• "幂零矩阵" 英文翻译 :    nilpotent matrix
• "幂零理想" 英文翻译 :    nilpotent ideal
• "幂零流形" 英文翻译 :    nilmanifold
• "幂零算子" 英文翻译 :    nilpotent operator
• "幂零元素" 英文翻译 :    nilpotent element

• Some sufficient and necessary conditions of - nilpotent group
  幂零群的几个充要条件
• Theorem 3 . 10 if g is locally nilpotent group and c * - group , then g is baer nilpotent and hypercentral group
  定理3若局部幂零群g是c二群，则g是baer幂零而且是超限上中心群
• 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若周期的局部幂零群g是c ” …卜群，则g的类最多为3
• 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
  从而进一步得到了周期的局部幂零群的幂零类及导群的结构。
• 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之极小子群含于v ( g ) ，且2 ~ 2阶循环子群在g中或半正规或c -正规，则g是幂零群
• 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
  在这篇文章中，我们将继续文献[ 1 ]的研究工作，利用素数幂阶子群的s -正规性给出了一个群是可解群、 p -幂零和亚幂零群的一些条件结构。
• 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-齐次性的性质，对-幂零群作了较详尽的研究，得到了有限群为-幂零群的几个充要条件，推广了一些著名的定理。
• 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
  本文在前人的基础上，讨论了以下内容： ( 1 )极大子群的子群偶和c正规性、弱c正规性、 s正规性、正规指数之间的关系； ( 2 )利用s正规性得到了关于有限群可解性的几个结果； ( 3 )将极大子群的子群偶推广为有限群的一般真子群的偶，证明了有限群的c正规、弱c正规以及s正规子群都可以用一般真子群的偶来描述和几个新的结果； ( 4 )研究p拟幂零群和p ~ *幂零群，得到了一些新的结构定理。
• 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证明了一个群g的西洛子群的正规化子的指数为奇数或为一个素数幂当巨仅当g为可解群而且g二尤厅，其中k和h都是群g的hall一子群， k是正规于g的一个2 ’一月恤21子群的幂零子群， h是2一幂零群。

• 幂零群的法语：groupe nilpotent