## Annals of Mathematics |

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### Contents

Cohomology of artinian group schemes over local fields | 411 |

II | 450 |

Groups of homeomorphisms of a simply connected space | 473 |

Copyright | |

7 other sections not shown

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### Common terms and phrases

abelian algebraic scheme assertion assume assumption automorphism B-scheme canonical coherent sheaf cohomology commutative compact complete Corollary cyclic group defined definition deformation denote dimension disjoint exists an element finite type follows function grM(R group scheme Hence homeomorphism identity implies induces initial form integer involution irreducible subscheme isomorphic K-space Lemma Let f Let G linear locally flat main theorem manifold Math maximal ideal module monoidal transformations morphism multiplication non-singular non-singular irreducible normal crossings normal subgroup normally flat obtained open set open subset p-group pair positive integer prime ideal Proposition prove regular local ring regular system resolution datum resolution of singularities resp satisfying sequence sheaf of ideals space stable homeomorphism stably equivalent standard base strict transform subscheme succession of monoidal Suppose Sylow p-group system of elements system of parameters topological trivial unique