Wild sets and 2-ranks of class groups

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Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918, U.S.A.
Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

[Carp] J. P. Carpenter, Finiteness theorems for forms over global fields, Math. Z. 209 (1992), 153-166.
[CoHu] P. E. Conner and J. Hurrelbrink, Class Number Parity, Ser. Pure Math. 8, World Scientific, Singapore, 1988.
[Czog] A. Czogała, On reciprocity equivalence of quadratic number fields, Acta Arith. 58 (1991), 27-46.
[CzSł] A. Czogała and A. Sładek, Higher degree Hilbert symbol equivalence of number fields, Tatra Mt. Math. Publ. 11, to appear.
[PSCL] R. Perlis, K. Szymiczek, P. E. Conner and R. Litherland, Matching Witts with global fields, in: Contemp. Math. 155, Amer. Math. Soc., 1994, 365-387.
[Szym] K. Szymiczek, Witt equivalence of global fields, Comm. Algebra 19 (1991), 1125-1149.
[Tate] J. Tate, Relations between K₂ and Galois cohomology, Invent. Math. 36 (1976), 257-274.