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

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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.

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Acknowledgement

The authors would like to give their thanks to the referee for his/her many helpful suggestions on the original version of this paper.

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Correspondence to Hao Zhao.

Additional information

This work was supported by the 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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Zhong, L., Hong, J. & Zhao, H. Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres. Chin. Ann. Math. Ser. B 43, 459–472 (2022). https://doi.org/10.1007/s11401-022-0335-4

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  • DOI: https://doi.org/10.1007/s11401-022-0335-4

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