The secondary periodic element ${\beta }_{p^2/p^2-1}$ and its applications

Jianguo Hong, Xiangjun Wang

In this paper we prove that ${\beta }_{p^2/p^2-1}$ survives to $E_{\infty }$ in the Adams-Novikov spectral sequence for $p⩾5$. As an easy consequence we prove that ${\beta }_{s{p}^2/j}$ are…