期刊文献+

酉群的正规性结构定理 被引量:2

The normal structure theorem for the unitary group
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摘要 在文献[1]和[2]中引入的∧-稳定秩条件下,对于给定的形式理想证明了酉群(有限生产投射模上的二次型的自同构群)的正规性结构定理,进一步推广已有的结果. In this paper, under the ∧「 」 stable range condition introduced by A. Bak and TANG Guo-ping, we prove the normal structure theorem for the unitary group for a special form ideal.
出处 《西南民族大学学报(自然科学版)》 CAS 2006年第1期23-26,共4页 Journal of Southwest Minzu University(Natural Science Edition)
基金 国家自然科学基金(No.10271094)
关键词 酉群 形式理想 Eichler变换 ∧「 」稳定秩条件 :unitary group form ideal Eichler transformation ∧「 」 stable range condition
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参考文献4

  • 1BAK A,TANG Guoping.Stability for Hermitian K1[J].J.Pure Appl.Algebra,2000,150(2):109-121.
  • 2唐国平.Λ-稳定秩下的酉K_1-群[J].数学年刊(A辑),2004,25(2):171-178. 被引量:11
  • 3HAHN A J,O' MEANR O.T.The Classical Groups and K-Theory[M].Grundlehren der Mathematischen Wissenschaften 291,Springer,1989.
  • 4VASERSTEIN L N,HONG You.Normal subgroups of classical groups over rings[J].Pure and Applied Algebra,1995,105:93-105.

二级参考文献7

  • 1Bak,A.& Tang,G.P.,Stability for Hermitian K1 [J],J.Pure Appl.Algebra,150:2(2000),109-121.
  • 2Knus,M.A.,Quadratic and Hermitian Forms over Rings [M],Grundlehren der Mathematischen Wissenschaften 294,Springer,1991.
  • 3Hahn,A.J.& O'Meara,O.T.,The Classical Groups and K-Theory [M],Grundlehrender Mathematischen Wissenschaften 291,Springer,1989.
  • 4Magurn,B.A.,van der Kallen,W.& Vaserstein,L.N.,Absolute stable rank and Wittcancellation for noncommutative rings [J],Invent.Math.,91:3(1988),525-542.
  • 5Vaserstein,L.N.,Stabilization of unitary and orthogonal groups over a ring with involution [J],(Russian) Mat.Sb.(N.S.),81:123(1970),328-351.
  • 6Mustafa-Zade,N.M.,On epimorphic stability of a unitary K2-functor [J],UspekhiMat.Nauk,35(1980),165-166 [English translation:Russian Math.Surveys,35(1980),99 100].
  • 7Kolster,M.,Surjective stability for unitary K-groups [R],Preprint,1975.

共引文献10

同被引文献8

  • 1王文娟,孙国正.局部有界的双连续C-半群及其逼近定理[J].数学杂志,2007,27(1):31-37. 被引量:10
  • 2Hahn A J, O' Meara OT. The classical groups and K-theory. Heidelberg:Springer-Verlag, 1989
  • 3Bak A, Tang GP. Stability for hermitian K1. Journal of Pure and Applied Algebra, 2000,150(2):109 - 121
  • 4Vaserstein LN, You H. Normal subgroups of classical groups over rings. Journal of Pure and Applied Algebra, 1995,105:93 - 105
  • 5赵勇,张玉林.酉群的基本子群的生成元所满足的关系.西北大学学报(自然科学网络版),2006,4(4):0219[2008-02-10].http://jonline.nwu.edu.cn/wenzhang/206172pdf
  • 6KUHNEMEND F A. Hille-Yosida theorem for Bi-continuous semigroups[J]. Semigroups Forum, 2003, 67: 205-225.
  • 7赵华新,常胜伟.弱C_0–半群拓扑[J].西南民族大学学报(自然科学版),2007,33(4):703-706. 被引量:2
  • 8唐国平.Λ-稳定秩下的酉K_1-群[J].数学年刊(A辑),2004,25(2):171-178. 被引量:11

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