Wild sets and 2-ranks of class groups

• Autorzy: P. E. Conner , R. Perlis , K. Szymiczek
• Języki publikacji: EN

Kategorie tematyczne

• 11R29: Class numbers, class groups, discriminants
• 11E81: Algebraic theory of quadratic forms; Witt groups and rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 79
• Numer: 1
• Strony: 83-91

Daty

wydano

1997

otrzymano

1996-06-25

Twórcy

autor

P. E. Conner

• Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918, U.S.A.

autor

R. Perlis

• Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803-4918, U.S.A.

autor

K. Szymiczek

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Bibliografia

• [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.