On the Size of the Wild Set
Canadian journal of mathematics, Tome 57 (2005) no. 1, pp. 180-203

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

To every pair of algebraic number fields with isomorphic Witt rings one can associate a number, called the minimum number of wild primes. Earlier investigations have established lower bounds for this number. In this paper an analysis is presented that expresses the minimum number of wild primes in terms of the number of wild dyadic primes. This formula not only gives immediate upper bounds, but can be considered to be an exact formula for the minimum number of wild primes.
DOI : 10.4153/CJM-2005-008-6
Mots-clés : 11E12, 11E81, 19F15, 11R29
Somodi, Marius. On the Size of the Wild Set. Canadian journal of mathematics, Tome 57 (2005) no. 1, pp. 180-203. doi: 10.4153/CJM-2005-008-6
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[1] [1] Carpenter, J., Finiteness theorems for forms over global fields. Math. Z. 209 (1992), 153–166. Google Scholar

[2] [2] Conner, P. E., Perlis, R. and Szymiczek, K. Wild sets an. 2-ranks of class groups. Acta Arith. 79 (1997), 83–91. Google Scholar

[3] [3] Czogala, A., On reciprocity equivalence of quadratic number fields. Acta Arith. 58 (1991), 29–46. Google Scholar

[4] [4] Hecke, E., Lectures on the Theory of Algebraic Numbers. Graduate Texts in Mathematics, 77, Springer-Verlag, New York, 1981. Google Scholar

[5] [5] Lam, T. Y., The Algebraic Theory of Quadratic Forms.W.A. Benjamin, Reading, MA, 1973. Google Scholar

[6] [6] Perlis, R., Szymiczek, K., Conner, P. E. and Litherland, R.,Matching Witts with global fields. Contemp. Math. 155 (1994), 365–387. Google Scholar

[7] [7] Szymiczek, K., Witt equivalence of global fields. Comm. Algebra 19 (1991), 1125–1149. Google Scholar

[8] [8] Weiss, E., Algebraic Number Theory. Dover Publications, Mineola, NY, 1998. Google Scholar

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