TY - JOUR

T1 - An algebraic-metric equivalence relation over p-adic fields

AU - Vâjâitu, Marian

AU - Zaharescu, Alexandru

N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2012/9

Y1 - 2012/9

N2 - 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.

AB - 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.

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U2 - 10.1017/S0017089512000468

DO - 10.1017/S0017089512000468

M3 - Article

AN - SCOPUS:84864565976

VL - 54

SP - 715

EP - 720

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

IS - 3

ER -