A Pull Back Theorem in the Adams Spectral Sequence
نویسنده
چکیده
This paper proves that, for any generator x ∈ Ext A (Zp, Zp), if (1L ∧ i)∗φ∗(x) ∈ Ext A (H ∗L ∧ M,Zp) is a permanent cycle in the Adams spectral sequence (ASS), then h0x ∈ Ext A (Zp, Zp) also is a permenent cycle in the ASS. As an application, the paper obtains that h0hnhm ∈ Ext3,pnq+pmq+q A (Zp, Zp) is a permanent cycle in the ASS and it converges to elements of order p in the stable homotopy groups of spheres πpnq+pmq+q−3S, where p ≥ 5 is a prime, s ≤ 4, n ≥ m+2 ≥ 4 and M is the Moore spectrum.
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