同构群,isormorphic groups,在线英语词典,英文翻译,专业英语

1) isormorphic groups

同构群

2) automorphism group

自同构群

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

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)

3) Automorphism groups

自同构群

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

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。

4) automorphism

自同构群

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。

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。

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)。

5) outer automorphism group

外自同构群

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。

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。

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。

6) groups of all automorphisms

全自同构群

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。

参考词条

域的自同构群稳定自同构群中心自同构群解析自同构群旗-传递自同构群超图的自同构群中心内自同构群线性码的自同构群线性等重码的自同构群反射群的自同构群量子码的自同构群维护现状共投体

补充资料：陪群公登箕山赋得群字

【诗文】：
许由去已远，冥莫见幽坟。世薄人不贵，兹山唯白云。
宁知三千岁，复有尧为君。时佐激颓俗，登箕挹清芬。
高节虽旦暮，邈与洪崖群。

【注释】：

【出处】：
全唐诗：卷882-9

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

首页 \| 翻译 \| 影视 \| 论坛 \| 索引内自同构群等距同构群图的自同构群广义自同构群全纯自同构群

1) isormorphic groups 同构群 2) automorphism group 自同构群 1. 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 2. 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) 3) Automorphism groups 自同构群 1. 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 2. 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。 4) automorphism 自同构群 1. 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。 2. 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。 3. 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)。 5) outer automorphism group 外自同构群 1. 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。 2. 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。 3. 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。 6) groups of all automorphisms 全自同构群 1. 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。参考词条域的自同构群稳定自同构群中心自同构群解析自同构群旗-传递自同构群超图的自同构群中心内自同构群线性码的自同构群线性等重码的自同构群反射群的自同构群量子码的自同构群维护现状共投体补充资料：陪群公登箕山赋得群字【诗文】：许由去已远，冥莫见幽坟。世薄人不贵，兹山唯白云。宁知三千岁，复有尧为君。时佐激颓俗，登箕挹清芬。高节虽旦暮，邈与洪崖群。【注释】：【出处】：全唐诗：卷882-9 说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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