共查询到20条相似文献,搜索用时 31 毫秒
1.
自同构群是循环群被交换群扩张的有限群 总被引:1,自引:0,他引:1
设C是有限群,AutG=AB,,A是交换群且每Sylow子群的秩≤2,B是循环群,本文得出了G的结构,特别地,证明了AutG是秩≤2的交换群时,G循环。 相似文献
2.
本文利用一种新方法,考虑交换群Cp2×Cp 的自同构群,得到了该自同构群的结构.我们的结论是:Aut(Cp2×Cp)[Cp- 1∝(Cp×Cp)]holCp. 相似文献
3.
We explicitly give a group not isomorphic to any group of Mobius transformations of the three-dimensional sphere and acting quasiconformally on the three-dimensional sphere. 相似文献
4.
Shuang-jian Guo 《代数通讯》2013,41(3):1025-1049
We first introduce the notion of partial group twisted smash product and construct a Morita context for partial coaction of co-Frobenius Hopf group coalgebra relating generalized partial group smash product and partial coinvariants. Furthermore, we study group-Galois extensions and reobtain some classical results in the partial case. Finally, we prove that any partial group Galois extension induces a unique partial group entwining map compatible with the partial right coaction. 相似文献
5.
用群的共轭类个数刻画了交换群,同时用一个很简洁的方法重新证明了Frobenius G提出的一个著名问题:对于一个固定的数自然数n,共轭类数为n的有限群,在同构的意义下是有限的. 相似文献
6.
The Derived Picard Group is a Locally Algebraic Group 总被引:1,自引:0,他引:1
Amnon Yekutieli 《Algebras and Representation Theory》2004,7(1):53-57
Let A be a finite-dimensional algebra over an algebraically closed field K. The derived Picard group DPic
K
(A) is the group of two-sided tilting complexes over A modulo isomorphism. We prove that DPic
K
(A) is a locally algebraic group, and its identity component is Out0
K
(A). If B is a derived Morita equivalent algebra then DPic
K
(A)DPic
K
(B) as locally algebraic groups. Our results extend, and are based on, work of Huisgen-Zimmermann, Saorín and Rouquier. 相似文献
7.
Let R be an associative ring with identity.R is said to be semilocal if R/J(R)is(semisimple)Artinian,where J(R)denotes the Jacobson radical of R.In this paper,we give necessary and sufficient conditions for the group ring RG to be semilocal,where G is a locally finite nilpotent group. 相似文献
8.
Let φ be an automorphism of a free group Fn of rank n, and let Mφ = Fn ?φ ? be the corresponding mapping torus of φ. We study the group Out(Mφ) under certain technical conditions on φ. Moreover, in the case of rank 2, we classify the cases when this group is finite or virtually cyclic, depending on the conjugacy class of the image of φ in GL2(?). As an application, we solve the isomorphism problem for the family of F2-by-? groups, in terms of the two defining automorphisms. 相似文献
9.
Referring to Tits alternative, we develop a necessary and sufficient condition to decide whether the normalizer of a finite group of integral matrices is polycyclic-by-finite or is containing a non-Abelian free group. This result is of fundamental importance to conclude whether the (outer) automorphism group of a Bieberbach group is polycyclic-by-finite or has a non-cyclic free subgroup. 相似文献
10.
In this paper, we completely determine the structure of the unit group of the group algebra of some dihedral groups D2 n over the finite field Fpk, where p is a prime. 相似文献
11.
A Braided Simplicial Group 总被引:1,自引:0,他引:1
By studying the braid group action on Milnor's constructionof the 1-sphere, we show that the general higher homotopy groupof the 3-sphere is the fixed set of the pure braid group actionon certain combinatorially described groups. This establishesa relation between the braid groups and the homotopy groupsof the sphere. 2000 Mathematical Subject Classification: 20F36, 55P35, 55Q05,55Q40, 55U10. 相似文献
12.
环$R$称为是半clean的, 是指环中的每个元素都是一个单位与一个周期元的和. clean环是半clean的. 刻画半clean群环的一般情形是不容易的. 我们的目的是考虑如下问题:若$G$ 是局部有限群或者是阶是3的循环群, 群环$RG$何时是semiclean的. clean群环上的一些已有结果被推广. 相似文献
13.
This article gives a new interpretation of the virtual braid group in terms of a strict monoidal category SC that is freely generated by one object and three morphisms, two of the morphisms corresponding to basic pure virtual braids and one morphism corresponding to a transposition in the symmetric group. This point of view makes many relationships between the virtual braid group and the pure virtual braid group apparent, and makes representations of the virtual braid groups and pure virtual braid groups via solutions to the algebraic Yang–Baxter Equation equally transparent. In this categorical framework, the virtual braid group has nothing to do with the plane and nothing to do with virtual crossings. It is a natural group associated with the structure of algebraic braiding. 相似文献
14.
为了求解一类包含多轮群体评价过程的动态群体决策问题,定义了个体效用波动和群体一致度的概念并分别建立了相应的计算指标,利用决策个体的效用波动指标提出了决策个体权重的修正方法,然后提出了一种基于群体一致度指标的加权算法,得到了各决策方案的群体效用评价。最后给出了计算实例。 相似文献
15.
In this note, we study the Hermitian class group of orders over a Krulldomain and derive some exact sequences, permitting to calculate it inconcrete situations.In particular, we will show the Hermitian class group of a divisorialAzumaya algebra to be independent of its involution. 相似文献
16.
本文在研究一个生成元的Abel群的基础上,建立了两个生成元的Abel群到实数加群的同态方法,并对自由Abel群上的超群结构进行了分析与研究,给出了正规超群的分类,进而推进一个重要结论:自由Abel群构于实数加群及其子群. 相似文献
18.
该文讨论了一类2^n阶非交换群——(广义)四元数群Q_{2^n}=〈a,b|a^{2^n-1}=1,b^2=a^{2^{n-2}},{b^{-1}ab=a^{-1}〉(n≥3)的自同构群A(Q_{2^n})与全形H(Q_{2^n}))的置换表示,给出了A(Q_{2^n}))与H(Q_{2^n}))的构造. 相似文献
19.
In this article we construct free groups and subgroups of finite index in the unit group of the integral group ring of a finite non-Abelian group G for which every nonlinear irreducible complex representation is of degree 2 and with commutator subgroup G′ a central elementary Abelian 2-group. 相似文献