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| Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum |
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Citation： |
Jinkun LIN.Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum[J].Chinese Annals of Mathematics B,2006,27(3):311~328 |
| Page view： 1317
Net amount： 1166 |
Authors： |
Jinkun LIN; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10171049). |
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| Abstract： |
This paper proves the existence of an order $p$ element in the
stable homotopy group of sphere spectrum of degree $p^nq + p^mq +
q - 4$ and a nontrivial element in the stable homotopy group of
Moore spectum of degree $p^nq + p^mq + q - 3$ which are
represented by $h_0(h_mb_{n-1} - h_nb_{m-1})$ and $i_*(h_0h_nh_m)$
in the $E_2$-terms of the Adams spectral sequence respectively,
where $p\geq 7$ is a prime, $n\geq m + 2 \geq 4,\ q = 2(p - 1)$. |
Keywords： |
Stable homotopy groups of spheres, Adams spectral sequence, Toda spectrum |
Classification： |
55Q45 |
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