共查询到17条相似文献,搜索用时 78 毫秒
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本研究了特殊值l-群的一类特殊的l-同态象及l-扩张闭性。在非超Archimedean的条件下,证明了l-群G是特殊值的当且仅当对于G的每个闭l-理想K,G/K与K均是特殊值的。 相似文献
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引入弱奇异元及弱奇异l-群的概念,通过建立弱奇异元及弱奇异l-群的刻划,研究了一般弱奇异l-群的性质及相关的结构,部分地改进了有关奇异l-群已有的结果. 相似文献
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有限值l-群与特殊值l-群等价的一个充要条件 总被引:6,自引:0,他引:6
吕新民 《纯粹数学与应用数学》2001,17(1):66-69
G是l-群,本文主要证明:G是有限值的当且仅当G是特殊值的且C(G)=K(G),作为应用,我们证明了G是有基的l-群,则两者之间是等价的。 相似文献
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l-群的凸l-子群格的极小条件 总被引:5,自引:0,他引:5
吕新民 《纯粹数学与应用数学》2000,16(4):47-50,55
设G是L-群,C(G)是G的凸l-子群格.称C(G)满足极小条件,如果C(G)中每个元均包含一个原子元.本文将C(G)的链条件(见文[1])推广到极小条件,主要结果是:C(G)满足极小条件且C(G)中每个原子元均是G的基数直和项当且仅当∑rλ∈∪∈Пλ∈ARλ(其中每个Rλ≌实数加群R的某个子群)。 相似文献
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非可换的奇异l-群 总被引:2,自引:1,他引:1
吕新民 《纯粹数学与应用数学》2002,18(2):178-181
通过建立奇异元以及奇异l-群的刻划,研究了一般非可换的奇异l-群的性质及相关的结构. 相似文献
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设F,K为域,GLn(F),SLn(F)分别表示F上的n级一般线生群和n级特殊线性群.PGLn(F),PSLn(F)分别表示F上的n级射影一般线性群和n级射影特殊线性群.φ:SLn(F)→PGLn(K),n≥3为非平凡同态.本文确定了当K的持征为2时η的—个性质. 相似文献
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确定了超特殊Z-群的自同构群.设G是超特殊Z-群,即G={(1 α_1 α_2···α_n α_(n+1) 0 1 0···0 α_(n+2) ···0 0 0 ··· 0 α_2n 0 0 0··· 1 α_(2n+1) 0 0 0···1 α_(2n+1) 0 0 0···0 1)|α_j∈Z,j=1,2,3,...,2n+1}Aut_cG是AutG中平凡作用在ζG上的自同构形成的正规子群,则AutG=Aut_cG×Z_2,且1→Z···Z}2N→Aut_cG→Sp(2n,Z)→1是正合列. 相似文献
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It is shown that free groups of rank r 1 in a number of varieties of lattice-ordered groups possess reversing automorphisms of order 2. 相似文献
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Let G be a finite group and let ω(G) denote the set of the element orders of G. For the simple group PSL5(5) we prove that if G is a finite group with ω(G) = ω(PSL5(5)), then either G ? PSL5(5) or G ? PSL5(5): 〈θ〉 where θ is a graph automorphism of PSL5(5) of order 2. 相似文献
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Let be a non-trivial finite Galois extension of a field . In this paper we investigate the role that valuation-theoretic properties of play in determining the non-triviality of the relative Brauer group, , of over . In particular, we show that when is finitely generated of transcendence degree 1 over a -adic field and is a prime dividing , then the following conditions are equivalent: (i) the -primary component, , is non-trivial, (ii) is infinite, and (iii) there exists a valuation of trivial on such that divides the order of the decomposition group of at .
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Recognition of the Projective Special Linear Group over GF(3) 总被引:1,自引:0,他引:1
Let P be a finite group and denote by w(P) the set of its element orders. P is called k-recognizable by the set of its element orders if for any finte group G with ω(G) =ω(P) there are, up to isomorphism, k finite groups G such that G ≌P. In this paper we will prove that the group Lp(3), where p 〉 3 is a prime number, is at most 2-recognizable. 相似文献
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We prove that each projective special unitary group G can be characterized using only the set of element orders of G and the
order of G. 相似文献
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§ 1 Introduction and ResultsLet{Y(t) ,t≥ 0 }={Xk(t) ,t≥ 0 }∞k=1 be a sequence of independent Gaussian processeswith EXk(t) =0 and stationary incrementsσ2k(h) =E(Xk(t h) -Xk(t) ) 2 ,where through-outthis paper,σ2k(h) is assumed to be a non-decreasing continuous function foreach k≥ 1 .For p≥ 1 ,putσ(p,h) = ∞k=1σpk(h) 1 /p, (1 .1 )σ* (h) =maxk≥ 1 σk(h) , (1 .2 )σ~ (p,h) =σ(2 p/(2 -p) ,h) ,if 1≤ p <2 ,σ* (h) ,if p≥ 2 ,(1 .3)δpp =E|N(0 ,1 ) |p =2 p/2π∫∞0 x(p- 1 ) /2 e- … 相似文献