Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres*

Citation:

Linan ZHONG,Jianguo HONG,Hao ZHAO.Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres*[J].Chinese Annals of Mathematics B,2022,43(3):459~472
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Authors:

Linan ZHONG; Jianguo HONG;Hao ZHAO

Foundation:

National Natural Science Foundation of China (Nos. 12001474,12171165), Guangdong Natural Science Foundation (Nos. 2020A1515011008, 2021A1515010374)and the “13th Five-Year” Science and Technology Project of Jilin Department of Education (No. JJKH20200508KJ)
Abstract: In this paper, the authors introduce a new effective method to compute the generators of the E1-term of the May spectral sequence. This helps them to obtain four families of non-trivial product elements in the stable homotopy groups of spheres.

Keywords:

Stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence

Classification:

55Q45, 55T15, 55S10
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