On a family involving R. L. Cohen's \(\zeta\)-element (Q1935854)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On a family involving R. L. Cohen's \(\zeta\)-element |
scientific article; zbMATH DE number 6137389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a family involving R. L. Cohen's \(\zeta\)-element |
scientific article; zbMATH DE number 6137389 |
Statements
On a family involving R. L. Cohen's \(\zeta\)-element (English)
0 references
19 February 2013
0 references
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.
0 references
stable homotopy of spheres
0 references
Cohen's zeta-element
0 references
beta elements
0 references
