automorphism group

An analysis of sub-simple properties of automorphism groups by a computer;自同构群的次单性分析及计算机实现dw9汉语字典

The orders of automorphism groups of some families p-groups;某一类家族p-群的自同构群的阶(英文)dw9汉语字典

In this paper, we determine explicitly the automorphism of filirom Lie algebra W6, the solvable Lie algebra with nilradical W6, and prove that this solvable Lie algebra has no nontrivial (non-constant) invariant.文章确定了filiform李代数W6的自同构群,确定了以W6为nil-根基的可解李代数及其唯一性,并且证明了这类可解李代数没有非平凡(即非常数)不变量。dw9汉语字典

A finite p-group G is called LA-group, if the order of G divides the order of the automorphism group of G.称有限p-群G是LA-群,如果群G的阶能整除群G的自同构群的阶。dw9汉语字典

Abstract:Let G be a soluble block-transitive automorphism group of 2-(56,7,1) design D.设G是设计2-(5~6,7,1)的一个可解区传递自同构群,则G是旗传递的且G■A■L(1,5~6)。dw9汉语字典

Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold;一类三维Hopf流形的自同构群和全纯向量场dw9汉语字典

In this paper,The order of automorphism groups of metacyclic inner abelian p-groups are determined when p≠2,and the structure of automorphism groups are also given.本文确定了亚循环的内交换p-群(p≠2)的自同构群的阶,并给出了其自同构群的结构。dw9汉语字典

Meanwhile,the formula about number of order on the group of automorphisms over finitely generated module over Ring Fq[x] is deduced.在特征为2的域F2上给出n阶矩阵为平方矩阵的充要条件,从而刻划了平方矩阵的特征,求出环Fq[x]上有限生成模的自同构群的阶数公式,由此得到F2上全体平方矩阵的计数公式。dw9汉语字典

And their automorphism group sand outer automorphism groups are determined.对任意奇素数p,引入了一类所谓的算术p-群,并确定了其自同构群和外自同构群,所得结果推广具有一个循环极大子群的p-群的相应结论。dw9汉语字典

The outer automorphism group of the free product of two syclic groups is constructed, and two exact formulas for calculating its order are established.具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。dw9汉语字典

A formula of the order of the outer automorphism group of a semidirect product is obtained,which can be applied to the investigation of the triviality of the outer automorphism group.设有限群 G=N H为半直积 ,本文借助于 N和 H的自同构求出了 G的外自同构群阶的公式 ,并给出了若干应用。dw9汉语字典

According to the property and structure of generalized quaternion groups,using the methods of the extension theory of groups,the groups of all automorphisms of generalized quaternion group Q 4p and Q 4pm for odd prime p are determined,and the general structure of that of Q 4n deduced from that of Q 4p and Q 4pm is as follows:Suppose that p 1 is the smallest prime divisor of n,and n=p r .根据广义四元群 Q4 n的结构和性质 ,利用群的扩张理论 ,先确定了 Q4 p与 Q4 pm的全自同构群的结构 ,由此归纳出一般的广义四元群 Q4 n的全自同构群的结构如下 :设 p1 为 n的最小素因子 ,n=pr1 1 pr22 … prkk 为 n的素数分解 ,那么(a)当 p1 >2时 ,Aut(G) =〈α〉:(〈η1 〉×〈η2 〉×…×〈ηk〉) ;(b)当 p1 =2时 ,Aut(G) =〈α〉:(〈η2 〉×…×〈ηk〉) , r1 =1〈α〉:(〈γ〉×〈η2 〉×…×〈ηk〉) , r1 =2〈α〉:(〈μ〉×〈ν〉×〈η2 〉×…×〈ηk〉) , r1 ≥ 3。dw9汉语字典

The Construction of Group G with Automorphism Group A(G) of Order 2p自同构群A(G)的阶为2p的群G的结构dw9汉语字典

LA-Group and the Stractore of Auto-Morphism Groups of Some Special p-Groups;若干LA-群及一类特殊P-群自同构群的结构dw9汉语字典

The order of the automorphism group of finite abelian group有限交换群的自同构群的阶(英文)dw9汉语字典

The Finite Groups of which the Automorphism Group s Order is 2～3p～2;具有2～3p～2阶自同构群的有限群dw9汉语字典

The Orders of Automorphism Groups of Groups of Order P～6 (φ_(11),φ_(33));P～6阶群的自同构群的阶（φ_（11）,φ_（33））dw9汉语字典

THE ORDERS OF AUTOMORPHISM GROUPS OF GROUPS OF ORDER p5;p～5阶群的自同构群的阶（Φ_6—Φ_（10））dw9汉语字典

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dw9汉语字典

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dw9汉语字典

A New Series of LA-Groups and the Order of Their Automorphism Groups一系列新的LA-群及其自同构群的阶dw9汉语字典

Approach of Calculating the Order of Automorphism Group of p-Group计算有限p-群的自同构群阶的方法dw9汉语字典

An Action from Automorphism Group on Actor Group to Characteristic Group自同构群到对特征子群的商群上一作用dw9汉语字典

On the Autmorphism Groups of Metacyclic p-group with a Cyclic Maximal Subgroup具有循环极大子群的亚循环p-群的自同构群dw9汉语字典

The Order of Automorphism Group of the Group of Order p～6 (φ_(14),φ_(15),φ_(22));p～6阶群（φ_（14）,φ_（15）,φ_（22）的自同构群的阶dw9汉语字典

In other words it has a large automorphism group.换言之，它有大的自同构群。dw9汉语字典

Derivation Algebra and Automorphism Group of F[x,y];代数F[x，y]的导子代数和自同构群dw9汉语字典

Several Properties of Kneser Graph and Its Automorphism Group;Kneser图的若干性质及其自同构群dw9汉语字典

No-solvable Block-transitive Automorphism Group of 2-(v,11,1) Designs;2-(v,11,1)设计的非可解区传递自同构群dw9汉语字典

Automorphism and Anti-automorphisms of Quantum Group量子群V_q(sl(2))的自同构和反自同构dw9汉语字典