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Moore谱的Adams谱序列中的一个非平凡微分(英文)

A Non-trivial Differential in the Adams Spectral Sequence for the Moore Spectrum
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摘要 令p是一个大于5的奇素数.本文证明了在收敛到Moore谱的稳定同伦群的Adams谱序列中,在相差一个非零系数下,h2的2p阶Adams微分是a1b0^p. Let p ≥ 5 be an prime. In this paper, we proved that in the Adams spectral sequence for the mod p Moore spectrum, the 2p^th Adams differential of h2 is a1b0^p to a non-zero scalar.
出处 《数学进展》 CSCD 北大核心 2007年第3期285-294,共10页 Advances in Mathematics(China)
关键词 ADAMS谱序列 Adams-Novikov谱序列 环变换定理 Adams spectral sequence Adams-Novikov spectral sequence change of rings theorem
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参考文献17

  • 1Adams,J.F.,Stable Homotopy and Generalised Homology.University of Chicago Press,Chicago,1974. 被引量:1
  • 2Adams,J.F.,On the non-existence of element of Hopf invariant one,Ann.of Math.,1960,72:20-104. 被引量:1
  • 3Cohen,R.L.,Odd primary infinite families in stable homotopy theory.Memoirs of A.M.S.,1981,42. 被引量:1
  • 4Cohen,R.L.and Goerss,P.,Secondary cohomology operations that detect homotopy classes,Topology,1984,23:177-194. 被引量:1
  • 5Hovey,M.,Mark Hovey's algebraic topology problem list,Available from:http://claude.math.wesleyan.edu/. 被引量:1
  • 6Liu Xiugui.and Wang Xiangjun,A four-filtrated May spectral sequence and its applications,Priprint. 被引量:1
  • 7Liulevicius,A.,The factorization of cyclic reduced powers by secondary cohomology operations,Memoirs of A.M.S.,1962,42. 被引量:1
  • 8Mahowald,M.,A new infinite family in π*^s,Topology,1977,16:249-256. 被引量:1
  • 9Mahowald,M.,Some differentials in the Adams spectral sequence,Topology,1967,6:349-369. 被引量:1
  • 10May,J.P.,The cohomology of restricted Lie algebras and of Hopf algebras.J.Algebra,1966,3:123-146. 被引量:1

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