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On the decidability of the field of maximal abelian extension of p-adic numbers

Abstract:

In this project we investigate some approaches attacking the question of whether the theory of the maximal abelian extension of the p-adic numbers is decidable. A list of axioms is presented whose completeness we aim to show via quantifier elimination. We separated the quantifier elimination process into five embedding stages. We constructed four of the embeddings, up to the subextension field whose residue field is algebraically closed. For the last stage, some possible approaches are discussed.

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Department:
University of Oxford
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Author, Copyright Holder

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Department:
University of Oxford
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Supervisor
Department:
University of Central Lancashire
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Examiner
Department:
University of Oxford
Role:
Examiner
Type of award:
MSc by Research
Level of award:
Masters
Awarding institution:
University of Oxford

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