p-幂零,p-nilpotent
1)p-nilpotentp-幂零
1.On p-nilpotent Groups and Metabelian Groups;关于p-幂零群和亚循环群
2.Weakly C-normal Subgroups and p-nilpotent Groups;弱C-正规子群与p-幂零
3.In this paper, we study the structure of finite group G by using of the quasinormality of subgroups, condition and obtain some sufficient conditions for a group belonging to p-nilpotent groups and p-superslovable groups.对任意有限群G,我们利用子群的S-拟正规性刻划群G的结构,给出G为p-幂零群和p-超可解群的若干充分条件。
英文短句/例句

1.F-S-Supplement of the Mininal Subgroups and p-nilpotentcy of Finite Groups极小子群的F-S-补与有限群p-幂零
2.The p~*-Nilpotency and θ-Pairs for Subgroups on Finite Groups;有限群的p~*-幂零性和子群的θ-子群偶
3.Relationship of P-radical and Nil-radical of Finite-dimensional Restricted Lie Algebra有限维限制李代数P-根基和幂零根基的关系
4.And element X=A is nilpotent.元素X=A是幂零的。
5.An algebraic quantity that when raised to a certain power equals zero.幂零一个代数值,其若干次幂等于零
6.The Finite Group that the Order of Maximal Nilpotence Subgroups are Prime Power极大幂零子群的阶为素数幂的有限群
7.proper nilpotent element真幂零元素,根元素
8.equal to zero when raised to a certain power.其若干次幂等于零的。
9.The highest power of x which occurs in p is called the degree of P.出现在P中的X的最高次幂叫做P的次数。
10.Cohomology and Nullcones of Jacobson-Witt Algebras;Jacobson-Witt代数的上同调与幂零锥
11.Primitiveness of Character Triples and X-Nilpotent Group;特征标三元组的本原性和X-幂零群
12.Using Ⅱ-Jordan Nilpotent Matrices over Finite Fields to Construct Cartesian Authentication Codes;利用Ⅱ-Jordan型幂零矩阵构造Cartesian认证码
13.Some Results on the Weak Nilpotent Element of N(2,2,0)Algebra;关于N(2,2,0)代数的弱幂零元的若干结果
14.Polynomial Maps with Additive-nilpotent Jacobian Matrix带有可加幂零Jacobi矩阵的多项式映射
15.Finite Nilpotent Groups with Automorphism Group of Order 4p~3具有4p~3阶自同构群的有限幂零群
16.Finite nilpotent groups with automorphism group of order 4p~2q具有4p~2q阶自同构群的有限幂零群
17.Maximal n-Nilpotent Lie Ideals of Nest Algebras套代数中的极大的n-幂零Lie理想
18.The Derivation Algebras of Some Leibniz Algebras and Their Properties;一些幂零Leibniz代数的导子代数及相关性质
相关短句/例句

p-nilpotencyp-幂零
1.The thesis focuses on the S-qusinormality, C-normality, completely C*-permutability and S-semipermutability of subgroups of prime power of a finite group and aims at studying their influences on the structure of a finite group, such as supersolvability, p-nilpotency, and p-solvability, etc.本文主要研究素数幂阶子群的S-拟正规,C-正规,完全C~*置换、S-半置换等正规性对有限群结构(超可解性、p-幂零性、p-超可解性)的影响,得到了一些有意义的结果。
3)p-nilpotent groupp-幂零群
1.C-supplement subgroups are used to study the p-nilpotency of finite group and obtain two sufficient conditions of p-nilpotent group of finite group.利用子群的c-补性定义讨论了有限群的p-幂零性,得到了有限群为p-幂零群的两个充分条件。
2.2,we consider some abelian subgroups whose centralizers are equal to its normalizers,so we obtain some sufficient conditions of p-nilpotent groups and p-closed group.2,通过考虑某些交换子群的中心化子—致于正规化子,得到了p-幂零群和p-闭群的若干充分条件。
3.By use of the s-conditonal permutability of certain 2-maximal subgroups of Sylow subgroups,the sufficient conditions which enable a finite group to be ap-nilpotent group are obtained;some of the known theorems are further generalized.利用某些2-极大子群的s-条件置换性,得到了有限群是p-幂零群的充分条件;并推广了一些已知结果。
4)p-nilpotent groupsP-幂零群
1.In this paper,it is obtained that some necessary and sufficient conditions for p-nilpotent groups by means of the quasi-c-normality of some subgroups of a group G.利用拟c-正规的概念给出了p-幂零群的几个充要条件。
2.This paper assumes that every non-cyclic Sylow subgroup P of G has a subgroup D such that 1<|D|<|P| and all subgroups H of P with order |H|=|D| and with 2|D|(if P is a non-abelian 2-group and |P:D|>2) are normally embedded in G,and some sufficient conditions are obtained on G to be p-nilpotent groups and supersolvable groups.假设对于G的每个非循环Sylow子群P有一个子群D,使得1<|D|<|P|,且P的所有阶为|D|和2|D|(若P是非交换2-群且|P:D|>2)的子群H是G的正规嵌入子群,得到G为p-幂零群以及超可解群的一些充分条件,部分结果被推广到群系。
5)p-nilpotentp-幂零群
1.Some Sufficient Conditions of p-nilpotent Groups and p-closed Groups;p-幂零群和p-闭群的若干充分条件
6)nilpotent p-group幂零p-群
1.Let G be a nilpotent p-group with finite rank, a andβbe two p-auto-morphisms of G, and write I = <(αβ(g))(βα(g))-1)|g∈G>, then (i) In case I is a finite cyclic group, a andβgenerate a finite p-group.设G是一个有限秩的幂零p-群,α和β是G的两个p-自同构,记I= ((αβ(g))(βα(g))-1)|g∈G),则(i)当I是有限循环群时,α和β生成一个有限P-群; (ii)当I是拟循环p-群时,α和β生成一个可解的剩余有限P-群,它是有限生成的无挠幂零群被有限p-群的扩张。
延伸阅读

幂零Lie代数幂零Lie代数Lie algebra, nilpotent 幂零lie代数【liealgebI’a.浦训t即t;瓜朋~。代Hm明盯e6Pal 域k上满足下列等价条件之一的代数(司罗bla)g: l)有g的理想的有限降链{9.}。“、。,使得g。=g,g。={o},且对o簇i1,则其换位子理想的余维数codim【g,g」》2.特别地,如果dinlg簇2,则g是交换的.唯一的非交换的三维幂零Lie代数g同构于n(3k).对于几个小维数(当k=C,对于dinig续7)幂零Lie代数已经开列出来,但仍然没有它们分类的一般途径(1989). 幂零Lie代数(早期,它们被称为特殊Lie代数(51不戈诫Liea】罗b几璐)或O阶Lie代数)在5 .Lie关于微分方程积分方法研究的第一阶段就已经遇到了.可解lie代数(L记al罗bra,501铂b】e)的分类在一定意义下归结为枚举幂零Lie代数.在任意有限维Lie代数中都有一个最大的幂零理想(【21的术语,诣零根(成mdical)).另一个幂零理想也被考虑了—不可约的有限维表示的核的交集(幂零根,亦见lie代数的表示(rePn乏ellta-tion of a Lie algebm))(见【11,【4」).如果r是代数g的根,则幂零根n与 汇g,:]=[g,g]自r重合.商代数g/n是约化的(见约化块代数(玩司罗-腼,阁ucti祀)),并且n是有此性质的最小的理想.如果chark=O,则诣零根由所有使得adx幂零的x〔T组成. 研究C上约化Lie代数g,自然提出幂零子代数,它们是抛物子代数(parabelic su加】罗bra)的幂零根.当g=gI(V)时,这些幂零子代数与上面考虑过的子代数n(F)重合.9的一个Borel子代数(见Borel子群(Borel subgrouP))是g的一个由幂零元组成的极大子代数,不计共扼意义下是唯一的.更广的一类幂零L记代数由g的抛物子代数的由幂零元素组成的任意理想形成.当g=叭(V)时,这些幂零Lie代数已在【6]中被分类〔标准诣零代数〔standa记nila」geb闭)),而一般情形下在【7」中. 一个幂零Lie代数的中心必是非平凡的,而任意一个幂零Lje代数均可由幂零代数的中心扩张列得到.幂零Lie代数类关于子代数、商代数、中心扩张、有限直和是封闭的.特别地,n(n,k)的任意子代数是幂零的.反之,任意一个有限维幂零Lie代数必然同构于n(m,k)的一个子代数,对某个m(如果chark=0);这是八d。