The Convergence of Some Products in the Adams Spectral Sequence

  • Yuyu Wang
  • Jianbo Wang

Abstract

In this paper, we will use the family of homotopy elements $\zeta_n\in\pi_*S$, represented by $h_0b_n\in \operatorname{Ext}_A^{3,p^{n+1} q+q}(\mathsf{Z}_p, \mathsf{Z}_p)$ in the Adams spectral sequence, to detect a $\zeta_n$-related family $\gamma_{s+3}\beta_2\zeta_{n-1}$ in $\pi_*S$. Our main methods are the Adams spectral sequence and the May spectral sequence, here prime $p\geq 7$, $n>3$, $q=2(p-1)$.
Published
2015-12-14
How to Cite
Wang, Y., & Wang, J. (2015). The Convergence of Some Products in the Adams Spectral Sequence. MATHEMATICA SCANDINAVICA, 117(2), 304-319. https://doi.org/10.7146/math.scand.a-22871
Section
Articles