## Abstract

Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v_{1}-self map v_{1}^{4}: Σ ^{8}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 v _{2}-self map of the form v_{2}^{32}: Σ^{192}M(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.

Original language | English (US) |
---|---|

Pages (from-to) | 45-84 |

Number of pages | 40 |

Journal | Homology, Homotopy and Applications |

Volume | 10 |

Issue number | 3 |

DOIs | |

State | Published - 2008 |

Externally published | Yes |

## Keywords

- Stable homotopy
- V-periodieity

## Fingerprint

Dive into the research topics of 'On the existence of a v_{2}

^{32}-self map on M(1,4) at the prime 2'. Together they form a unique fingerprint.