AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS

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 pro...

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Veröffentlicht in:Glasgow mathematical journal Jg. 54; H. 3; S. 715 - 720
Hauptverfasser: VÂJÂITU, MARIAN, ZAHARESCU, ALEXANDRU
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge, UK Cambridge University Press 01.09.2012
Schlagworte:
Algebra
Algebraic group theory
Mathematical analysis
Orbits
Prime numbers
Theorems
11S99
ISSN:0017-0895, 1469-509X
Online-Zugang:Volltext
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Zusammenfassung: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.
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ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089512000468