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1.
l-群的极小素子群   总被引:6,自引:0,他引:6       下载免费PDF全文
本文研究l-群的极小素子群,主要证明如下结果:设G是一个l-群.(1)N∈Γm(G),则N=a当且仅当{PNC}是一个归纳集;(2)g∈G+,如果g是特殊的,且g的唯一值是原子,则g∈Γm(G);(3)G∈Bw1(C)是原子的当且仅当Γm(G)?Γ1(G)。  相似文献   

2.
本文主要讨论了定义在局部紧的全不连通群G上的一类卷积算子在加权L(G)和BMO(a)空间的性态.证明了如果卷积算子的核满足适当的条件,则算子是L(G)到BMO(a)有界的或是BMO(a)到BMO(a)有界的.  相似文献   

3.
非p—闭群G叫拟p—闭群,如果有G的真子群H,当(?)时.K就是p—闭群。本文证明了下列定理:定理1拟p—闭群有下述二型:Ⅰ当G可解时,2≤|π(G)|≤3。Ⅱ当G不可解时,a)G/Φ(G)为复阶单群。b)(?)为复阶单群。定理2内—5—闭群有下述二大类型:Ⅰ 5αβ阶p—基本群。Ⅱ G/Φ(G)同构于PSL(2,5),S(2)(q为奇素数)  相似文献   

4.
本文给出SL2(C)中具有两个生成元的可解子群的结构定理,并由单值群的可解性定义一类环面T2上Fuchs系统的可积性,进而研究该系统的解的一些大范围性质.  相似文献   

5.
本文利用尺度‖·‖H(p,∞)研究了一般紧Lie群上Hp函数的临界阶Bochner-Riesz平均算子σRδ:f→σRδf的有界性,得到了如下结果:σRδ是(Hp,H(p,∞))型的,并且‖σRδf‖H(p,∞)≤C‖f‖Hp  相似文献   

6.
PSL(2,F)的一个嵌入定理及其应用   总被引:1,自引:0,他引:1  
设F是任意域,G代表SL(2,F)或PSL(2,F).本文的主要结果是:设K是F的子域,则G中同构于SL(2,K)或PSL(2,K)的子群在G的自同构的作用下彼此共轭,利用这一结果,本文明确确定了A1[1]型的仿射Kac-Moody群的一类极大正规子群.  相似文献   

7.
本文用关于集值映射的Contingent切导数定量地讨论了参数映射G(u)在Ben-son真有效意义下的扰动情况.记W(u)=Pmin[G(u),S],y∈W(u),则在某些条件下DW(u,y)(u)?Pmin[DG(u,y)(u)],而在另外一些条件下DW(u,y)(u)?Pmin[DG(u,y)(u)].  相似文献   

8.
本文证明了:设R为charR≠0,G为有限生成的Abel群,则:P∈F=(RG)当且仅当s>0,使得P∈F=(RG).  相似文献   

9.
设υ及μ为定义在可测空间(X,S)上的有限测度.本文首先证明了若υ《μ(即υ关于μ绝对连续),则有L(*S,*μ)(?)L(*S,υ).进而证明了υ《μ当且仅当L(*υ)《L(*μ)并且d(L(*υ))/d(L(*μ))=*(dυ/dμ))即Loeb空间中的Radon-Nikodym定理.本文按一种自然的方式定义了σ-有限测度空  相似文献   

10.
附加广义函数的几个导数   总被引:2,自引:0,他引:2       下载免费PDF全文
作者证明了广义函数(x±i0)λlnk(x±i0)的表示定理,给出了附加广义函数的导数:(lnk±)',(xλ±lnk±)',(x-n±lnk'x±)',(d/dx){(x±i0)λlnk(x±i0  相似文献   

11.
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   

12.
Spectra of finite linear and unitary groups   总被引:1,自引:0,他引:1  
The spectrum of a finite group is the set of its element orders. An arithmetic criterion determining whether a given natural number belongs to a spectrum of a given group is furnished for all finite special, projective general, and projective special linear and unitary groups. Supported by RFBR (grant Nos. 08-01-00322 and 06-01-39001) and by the Council for Grants (under RF President) and State Aid of Leading Scientific Schools (project NSh-344.2008.1). __________ Translated from Algebra i Logika, Vol. 47, No. 2, pp. 157–173, March–April, 2008.  相似文献   

13.
Considering the relation between the Engel lengths of elements and their product, we give a counterexample to Question 11.88 in the “Kourovka Notebook” [1].  相似文献   

14.
51. IntroductionIt is quite clear that the ekistence of complements for some families of subgroups of agroup gives a lot ofinfor~ion about its structure. FOr instance, Hall[6] proved that a groupG is supersoluble with elementary abelian Sylow subgroups if and only if G is complemellted,that is, every subgroup of G is comPlemeded in G. The same anchor also proved that agroup is soluble if and only if every Sylow subgroup is complemellted (see [3;I,3.5]). Morerecelltly, Arad and Wardll] pro…  相似文献   

15.
We study classes of abelian groups related to sequential com¬pactness and its generalizations (completeness, coarseness and sequential pre-compactness) in convergence groups. In particular, we describe the algebraic structure of the abelian groups on which every coarse convergence is complete and we prove that: i) every abelian group admits a sequentially precompact convergence; ii) every algebraically compact abelian group admits a sequen¬tially compact convergence.  相似文献   

16.
As an outgrowth of the study of algebraic geometry over groups, discriminating groups were introduced. Many important universal type groups such as Higman's universal group and Thompson's group F were shown to be discriminating. Squarelike groups were then introduced to better capture axiomatic properties of discrimination. In the present article squarelike groups are reinterpreted in terms of discrimination of quasi varieties, and the relationship with an older version of discrimination, termed varietal discrimination here, is studied.  相似文献   

17.
18.
王晓峰 《数学进展》2004,33(5):513-526
本文第一部分对组台群论的发展史作了一个简要的回顾.然后重点介绍近20年来组合群论领域中的三个热点课题:即双曲群,自动机群和群的Dehn函数的有关概念,并对相关的重要研究成果给予概述,其中包括作者本人在群的二阶Dehn函数的研究工作中的若干成果.最后提出9个公开问题。  相似文献   

19.
赵红梅  唐国平 《数学进展》2008,37(2):163-170
记ZG为有限群G的整群环,△n(G)为增广理想△(G)的n次幂,Qn(G)=△"(G)/△n 1(G)为G的增广商群.本文考虑了二面体群D2tk(k 奇)和m次对称群Sm,证明了Qn(D2tk)为秩不超过2t 1的基本2-群以及Qn(Sm)≌Z2.  相似文献   

20.
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