Acta mathematica scientia,Series B
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Wang Yuyu
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Abstract:
In this article, by the algebraic method, the author proves the existence of a new nontrivial family of filtration s+5 in the stable homotopy groups of spheres $\pi_rS$, which is represented by 0 ≠\widetilde{\gamma}_{s+3}h_nh_m\in {\rm Ex}t_A^{s+5,\ t}(Z_p, Z_p)$ in the Adams spectral sequence, where r=q(pm+pn+(s+3)p2+(s+2)p+(s+1))-5}, t=pmq+pnq+(s+3)p2q+(s+2)pq+(s+1)q+s, p≥7, m≥n+2>5, 0≤s
Key words: Stable homotopy of spheres, Adams spectral sequence, cofiberation, May spectral sequence
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Wang Yuyu. A NEW FAMILY OF FILTRATION S+5 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta mathematica scientia,Series B, 2008, 28(2): 321-332.
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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(08)60034-X
http://121.43.60.238/sxwlxbB/EN/Y2008/V28/I2/321
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