Abstract
In this paper, we prove the nontriviality of the product $h_0b_0\tilde {\delta }_s\in \textrm {Ext}_A^{s+3,t(s)}(\mathbb {Z}_p,\mathbb {Z}_p)$ in the classical Adams spectral sequence, where $p\geq 11$, $4\leq s<p$, $t(s)=2(p-1)[sp^3+(s-1)p^2+(s-1)p+(s-2)]+(s-4)$ and $\tilde {\delta }_s$ was obtained by X. Wang and Q. Zheng.
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