Vol. 155, No. 1, 1992

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Nonsplit ring spectra and products of β-elements in the stable homotopy of Moore spaces

Jin Kun Lin

Vol. 155 (1992), No. 1, 129–142
Abstract

This paper proves trivialities and nontrivialities of some products of higher order β(tpn∕s) elements in the stable homotopy of Moore spaces. The proof is based mainly on properties of nonsplit ring spectra Kr (the cofibre of r-iterated Adams map with r not divisible by prime p 5) which are given in the rest of the paper.

Mathematical Subject Classification 2000
Primary: 55Q10
Secondary: 55P42, 55T15
Milestones
Received: 9 December 1990
Revised: 15 July 1991
Published: 1 September 1992
Authors
Jin Kun Lin