## Abstract

We completely compute the slice spectral sequence of the C_{4}-spectrum BP^{((C4))}〈2〉. This spectrum provides a model for a height-4 Lubin-Tate theory with a C_{4}-action induced from the Goerss-Hopkins-Miller theorem. In particular, our computation shows that E^{hC12}_{4} is 384-periodic.

Original language | English (US) |
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Pages (from-to) | 1-132 |

Number of pages | 132 |

Journal | Memoirs of the American Mathematical Society |

Volume | 288 |

Issue number | 1429 |

DOIs | |

State | Published - 2023 |

Externally published | Yes |

### Bibliographical note

Publisher Copyright:© 2023 American Mathematical Society.

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