An algebraic-metric equivalence relation over p-adic fields

Marian Vâjâitu; Alexandru Zaharescu

doi:10.1017/S0017089512000468

An algebraic-metric equivalence relation over p-adic fields

Marian Vâjâitu, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let p be a prime number, Q _p the field of p-adic numbers, K a finite field extension of Q _p, K̄ a fixed algebraic closure of K and C _p the completion of K̄ with respect to the p-adic valuation. We introduce and investigate an equivalence relation on C _p, defined in terms of field extensions and metric properties of Galois orbits over K.

Original language	English (US)
Pages (from-to)	715-720
Number of pages	6
Journal	Glasgow Mathematical Journal
Volume	54
Issue number	3
DOIs	https://doi.org/10.1017/S0017089512000468
State	Published - Sep 2012

ASJC Scopus subject areas

Mathematics(all)

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