Algebraic & Geometric Topology 12 (2012) 951–961

DOI: 10.2140/agt.2012.12.951

Abstract

In [Hiroshima Math. J. 12 (1982) 611–626], Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of spheres. In this paper, we use the cohomology of the third Morava stabilizer algebra to find nontrivial products of Greek letters of the stable homotopy groups of spheres: α₁γ_t, β₂γ_t, 〈α₁,α₁,β_{p ∕ p}^p〉γ_tβ₁ and 〈β₁,p,γ_t〉 for t with p∤t(t² − 1) for a prime number p > 5.

Keywords

BP–theory, stable homotopy of spheres

Mathematical Subject Classification

Primary: 55Q45

Secondary: 55Q51

References

Publication

Received: 1 August 2011
Revised: 29 November 2011
Accepted: 8 January 2012
Published: 24 April 2012

Authors