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 -