Geodesic
AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 715-720

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DOI

Let p be a prime number, Qp the field of p-adic numbers, K a finite field extension of Qp, K a fixed algebraic closure of K and Cp the completion of K with respect to the p-adic valuation. We introduce and investigate an equivalence relation on Cp, defined in terms of field extensions and metric properties of Galois orbits over K.
DOI : 10.1017/S0017089512000468
Mots-clés : 11S99 
VÂJÂITU, MARIAN; ZAHARESCU, ALEXANDRU. AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 715-720. doi: 10.1017/S0017089512000468
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     title = {AN {ALGEBRAIC-METRIC} {EQUIVALENCE} {RELATION} {OVER} {p-ADIC} {FIELDS}},
     journal = {Glasgow mathematical journal},
     pages = {715--720},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000468},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000468/}
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