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AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS

Published online by Cambridge University Press:  31 July 2012

MARIAN VÂJÂITU  and
ALEXANDRU ZAHARESCU
MARIAN VÂJÂITU
Affiliation:
Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit 5, P. O. Box 1-764, RO-014700 Bucharest, Romania e-mail: Marian.Vajaitu@imar.ro
ALEXANDRU ZAHARESCU
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA e-mail: zaharesc@math.uiuc.edu
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Abstract

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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.

Keywords

11S99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 3 , September 2012 , pp. 715 - 720
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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