On a family involving R. L. Cohen's \(\zeta\)-element
type: Item
instance of: scholarly article
title: On a family involving R. L. Cohen's \(\zeta\)-element
zbMATH Open document ID: 1272.55008
author: Da Zheng
author: Liu Xiugui
published in: Topology and its Applications
publication date: 2013-02-19T00:00:00Z
review text: Let \(\zeta_n\) be the element in the \((p^{n+1}+1)q-3\) stem of the stable homotopy groups of spheres at a prime \(p>2\) given by Cohen. For the beta element \(\beta_s\) in the \((sp+s-1)q-2\) stem, the authors show the nontriviality of the product \(\zeta_{n-1}\beta_1\beta_{s+2}\) for \(p\geq 5\), \(n>3\), and \(0\leq s<p-4\). The proof is based on standard computation of the May spectral sequence for the Adams \(E_2\)-term.
reviewed by: Katsumi Shimomura
Mathematics Subject Classification ID: 55Q45
Mathematics Subject Classification ID: 55Q10
zbMATH DE Number: 6137389
zbMATH Keywords: stable homotopy of spheres
zbMATH Keywords: Cohen's zeta-element
zbMATH Keywords: beta elements
MaRDI profile type: Publication
full work available at URL: j.topol.2012.11.019
OpenAlex ID: W4205398050
DOI: 10.1016/J.TOPOL.2012.11.019
description: scientific article; zbMATH DE number 6137389