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Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres* |
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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 |
Page view: 801
Net amount: 630 |
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) |
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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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