A new family in the stable homotopy groups of spheres
In this paper, the nontriviality of homotopy elements \beta _1\varrho _s in the p-primary component of stable homotopy groups of spheres is shown by virtue of the Adams spectral sequence and the May spectral sequence, where \varrho _s is represented by b_0g_{0}\widetilde {\gamma }_{s} in the Adams s...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2023-05, Vol.151 (5), p.2241 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, the nontriviality of homotopy elements \beta _1\varrho _s in the p-primary component of stable homotopy groups of spheres is shown by virtue of the Adams spectral sequence and the May spectral sequence, where \varrho _s is represented by b_0g_{0}\widetilde {\gamma }_{s} in the Adams spectral sequence, p is a prime number greater than 5, and 3\leq s |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/16286 |