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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_1017_S0017089512000468,
     author = {V\^AJ\^AITU, MARIAN and ZAHARESCU, ALEXANDRU},
     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/}
}
TY  - JOUR
AU  - VÂJÂITU, MARIAN
AU  - ZAHARESCU, ALEXANDRU
TI  - AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS
JO  - Glasgow mathematical journal
PY  - 2012
SP  - 715
EP  - 720
VL  - 54
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000468/
DO  - 10.1017/S0017089512000468
ID  - 10_1017_S0017089512000468
ER  - 
%0 Journal Article
%A VÂJÂITU, MARIAN
%A ZAHARESCU, ALEXANDRU
%T AN ALGEBRAIC-METRIC EQUIVALENCE RELATION OVER p-ADIC FIELDS
%J Glasgow mathematical journal
%D 2012
%P 715-720
%V 54
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000468/
%R 10.1017/S0017089512000468
%F 10_1017_S0017089512000468

[1] 1.Alexandru, V., Popescu, N. and Zaharescu, A., On the closed subfields of , J. Number Theory 68 (2)(1998), 131–150. Google Scholar | DOI

[2] 2.Alexandru, V., Popescu, N. and Zaharescu, A., The generating degree of , Canad. Math. Bull. 44 (1) (2001), 3–11. Google Scholar

[3] 3.Alexandru, V., Popescu, N. and Zaharescu, A., Trace on , J. Number Theory 88 (1) (2001), 13–48. Google Scholar | DOI

[4] 4.Ax, J., Zeros of polynomials over local fields – The Galois action, J. Algebra 15 (1970), 417–428. Google Scholar | DOI

[5] 5.Barsky, D., Transformation de Cauchy p-adique et algèbre d'Iwasawa, Math. Ann. 232 (3) (1978), 255–266. Google Scholar | DOI

[6] 6.Ioviţă, A. and Zaharescu, A., Completions of r.a.t.-valued fields of rational functions, J. Number Theory 50 (2) (1995), 202–205. Google Scholar | DOI

[7] 7.Mazur, B. and Swinnerton-Dyer, P., Arithmetic of Weil curves, Invent. Math. 25 (1974), 1–61. Google Scholar

[8] 8.Sen, S., On automorphisms of local fields, Ann. Math. 90 (2) (1969), 33–46. Google Scholar | DOI

[9] 9.Tate, J. T., p-divisible groups, in Proc. Conf. Local Fields, Driebergen, 1966 (Springer, Berlin, Germany, 1967) 158–183. Google Scholar | DOI

[10] 10.Zaharescu, A., A metric symbol for pairs of polynomials over local fields, C.R. Math. Acad. Sci. Soc. R. Can. 22 (4) (2000), 147–150. Google Scholar

[11] 11.Zaharescu, A., Lipschitzian elements over p-adic fields, Glasgow Math. J. 47 (2005), 363–372. Google Scholar

Cité par Sources :