JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (8): 43-48.doi: 10.6040/j.issn.1671-9352.0.2017.383

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Some notes on E2-term of Adams spectral sequence

LIU Yan-fang, WANG Yu-yu*   

  1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
  • Received:2017-07-31 Online:2018-08-20 Published:2018-07-11

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Abstract: The E2-term of the Adams spectral sequence, which is the cohomology of mod p Steenrod algebra A, will be discussed by using the May spectral sequence. In the Adams spectral sequence, the non-triviality of (~overγ)s+3b1hn is given, and it doesnt be hitted by any element. These results are important for the detection of new family of elements in the stable homotopy groups of spheres.

Key words: Ext group, non-triviality, May spectral sequence, May differential, Adams differential

CLC Number: 

  • O189.23
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