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谱V(1)同伦群中的一些新元素 被引量:4

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摘要 本文利用Adams谱序列证明了谱V(1)的同伦群πV(1)中,存在由b1g0,b1h1和h2所表示的新元素,而由bn(n≥1)表示的元素不存在,并且确定了πV(1)在次数<2(p2+2p)(p-1)-3时的Zp基元,其中p≥5是素数.
作者 林金坤
机构地区 南开大学数学系
出处 《天津师大学报(自然科学版)》 CAS 1998年第4期1-7,共7页
基金 国家自然科学基金
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参考文献10

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同被引文献15

  • 1LIU XiuguiInstitute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China.A nontrivial product in the stable homotopy groups of spheres[J].Science China Mathematics,2004,47(6):831-841. 被引量:17
  • 2王健波,肖建明.h_0b_1~3在π_*V(1)中的收敛性[J].南开大学学报(自然科学版),2006,39(1):43-48. 被引量:4
  • 3林金坤,天津师大学报,1998年,8卷,4期,1页
  • 4Lin Jinkun,Pacific J Math,1992年,155卷,1期,129页
  • 5TODA H. Algebra of Stable Homotopy of Zp-spaces and Applications [J]. J Math Kyoto Univ, 1971,1 (11) : 197-251.
  • 6TODA H. On Spectra Realizing Exterior Part of the Steenrod Algebra [J]. Topology, 1971,26(10) :53-65.
  • 7LIULEVICIUS A. The Factorization of Cyclic Reduced Powers by Secondary Cohomology Operations [J]. Memoirs of A Mer Math Soc,1962,42:978-981.
  • 8AIKAWA T. 3-dimensional Cohomology of the Mod p Steenrod Algebra [J]. Math Stand, 1980,47:91-115.
  • 9MAY J P. The Cohomology of Restricted Lie Algebra and Hopf Algebra [J]. J Algebra, 1966,4(3) : 123-146.
  • 10王玉玉.球面稳定同伦群的γ_tl_1g_0新元素族[J].数学年刊(A辑),2007,28(6):853-862. 被引量:4

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