## Abstract

Let p be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of the Witt ring of k. Let G be a finite flat commutative group scheme over O_{K} killed by some p-power. In this paper, we prove a description of ramification subgroups of G via the Breuil-Kisin classification, generalizing the author's previous result on the case where G is killed by p 3. As an application, we also prove that the higher canonical subgroup of a level n truncated Barsotti-Tate group G over O_{K} coincides with lower ramification subgroups of G if the Hodge height of G is less than.p-1/=p^{n}, and the existence of a family of higher canonical subgroups improving a previous result of the author.

Original language | English |
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Pages (from-to) | 303-330 |

Number of pages | 28 |

Journal | Algebra and Number Theory |

Volume | 8 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2014 |

## All Science Journal Classification (ASJC) codes

- Algebra and Number Theory