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A Nontrivial Product in the May Spectral Sequence

A Nontrivial Product in the May Spectral Sequence
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摘要 In this paper,we prove the non-triviality of the product h 0 k o δ s+4 ∈ Ext s+6,t(s) A (Z p ,Z p ) in the classical Adams spectral sequence,where p ≥ 11,0 ≤ s p-4,t(s) = (s + 4)p 3 q + (s + 3)p 2 q + (s + 4)pq + (s + 3)q + s with q = 2(p-1).The elementary method of proof is by explicit combinatorial analysis of the (modified) May spectral sequence. In this paper,we prove the non-triviality of the product h 0 k o δ s+4 ∈ Ext s+6,t(s) A (Z p ,Z p ) in the classical Adams spectral sequence,where p ≥ 11,0 ≤ s p-4,t(s) = (s + 4)p 3 q + (s + 3)p 2 q + (s + 4)pq + (s + 3)q + s with q = 2(p-1).The elementary method of proof is by explicit combinatorial analysis of the (modified) May spectral sequence.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第2期359-365,共7页 数学研究与评论(英文版)
基金 Supported by the National Natural Science Foundation of China (Grant No. 10361005)
关键词 stable homotopy groups of spheres Adams spectral sequence May spectral sequence stable homotopy groups of spheres Adams spectral sequence May spectral sequence
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  • 1Lin J K,Zheng Q B.A new family of filtration seven in the stable homotopy of spheres[].Hiroshima Mathematical Journal.1998
  • 2Cohen R.Odd primary families in stable homotopy theory, Memoirs of Amer[].Mathematical Social Sciences.1981
  • 3Toda H.On Spectra Realizing Exterior Part of the Steenrod Algebra[].Topology.1971
  • 4Liulevicius A.The factorizations of cyclic reduced powers by secondary cohomology operations, Memoirs ofAmer[].Mathematical Social Sciences.1962
  • 5Aikawa T.3-dimensional cohomology of the mod p Steenrod algebra[].Mathematica Scandinavica.1980
  • 6TODA H.Algcbra of stable homotopy of Zp-spaces and applications[].Journal of Mathematics of Kyoto University.1971
  • 7Hoffman P.Relations in the stable homotopy ring of Moore spaces, Proc[].London Mathematical Society.1968

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