## Abstract

Let n be any positive integer and p be any prime. Also, let X be any spectrum and let K(n) denote the nth Morava K-theory spectrum. Then we construct a descent spectral sequence with abutment π* (LK(n) (X)) and E _{2}-term equal to the continuous cohomology of Gn , the extended Morava stabilizer group, with coefficients in a certain discrete Gn -module that is built from various homotopy fixed point spectra of the Morava module of X. This spectral sequence can be contrasted with the K(n)-local En -Adams spectral sequence for π* (LK(n) (X)), whose E _{2}-term is not known to always be equal to a continuous cohomology group.

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

Pages (from-to) | 369-380 |

Number of pages | 12 |

Journal | Glasgow Mathematical Journal |

Volume | 56 |

Issue number | 2 |

DOIs | |

State | Published - May 2014 |

## Fingerprint

Dive into the research topics of 'A descent spectral sequence for arbitrary K(n)-local spectra with explicit e_{2}-term'. Together they form a unique fingerprint.