Journal of the Ramanujan Mathematical Society

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The Galois theory of the p-Adic Complex Numbers


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1 Department of Mathematics, Cornell University, Ithaca NY, 14853, United States
     

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We discuss the Galois theory of the p-adic complex numbers (completion of an algebraic closure of Qp) and, in particular, characterise its closed subfields as completions of algebraic extensions of Qp.
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  • The Galois theory of the p-Adic Complex Numbers

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Authors

Shankar Sen
Department of Mathematics, Cornell University, Ithaca NY, 14853, United States

Abstract


We discuss the Galois theory of the p-adic complex numbers (completion of an algebraic closure of Qp) and, in particular, characterise its closed subfields as completions of algebraic extensions of Qp.