Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v1-self map v14: Σ8 M(1) → M(1). Let M(1,4) be the cofiber of this self-map. The purpose of this paper is to prove that M(1,4) admits a minimal v2-self map of the form v232: Σ192M(1,4) → M(1,4). The existence of this map implies the existence of many 192-periodic families of elements in the stable homotopy groups of spheres.
Homology, Homotopy and Applications, Vol. 10 (2008), No. 3, pp.45-84.
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