New Families in the Stable Homotopy of Spheres Revisited |
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Authors: | Email author" target="_blank">Jin?Kun?LinEmail author |
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Institution: | (1) Department of Mathematics, Nankai University, Tianjin, 300071, P. R. China E-mail: jklin@nankai.edu.cn, CN |
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Abstract: | This paper constructs a new family in the stable homotopy of spheres π
t
−6
S represented by h
n
g
0γ3∈E
6
t
2 in the Adams spectral sequence which revisits the b
n
−1
g
0γ3-elements ∈π
t
−7
S constructed in 3], where t = 2p
n
(p− 1) + 6(p
2 + p + 1)(p− 1) and p≥ 7 is a prime, n≥ 4.
Received October 7, 1998, Revised May 8, 2000, Accepted August 8, 2000. |
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Keywords: | Stable homotopy of spheres Adams spectral sequence Toda-Smith spectrum Adams resolution |
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