Witt Equivalence of Global Fields. II: Relative Quadratic Extensions

1994 ◽  
Vol 343 (1) ◽  
pp. 277
Author(s):  
Kazimierz Szymiczek

1996 ◽  
Vol 65 (213) ◽  
pp. 319-330 ◽  
Author(s):  
M. Daberkow ◽  
M. Pohst


2004 ◽  
Vol 69 (3) ◽  
pp. 433-440 ◽  
Author(s):  
Hamza Ahmad

Let κ be a field of characteristic 2. The author's previous results (Arch. Math. (1994)) are used to prove the excellence of quadratic extensions of κ. This in turn is used to determine the Witt kernel of a quadratic extension up to Witt equivalence. An example is given to show that Witt equivalence cannot be strengthened to isometry.





2017 ◽  
Vol 369 (11) ◽  
pp. 7861-7881 ◽  
Author(s):  
Paweł Gładki ◽  
Murray Marshall




2011 ◽  
Vol 150 (4) ◽  
pp. 399-414
Author(s):  
Qin Yue


1993 ◽  
Vol 36 (2) ◽  
pp. 139-143
Author(s):  
Antone Costa

AbstractLet p ≡ 1 mod 8 be a rational prime and let h(—p) be the class number of . In [1], Barrucand and Cohn show that h(-p) = 0 mod 8 iff p = x2 + 32y2 for some x,y € Z. In this article, we generalize their result to a family of relative quadratic extensions K/F, where Fk is the maximum totally real subfield of Q(ζ2k+2 ), and a power of a prime of Fk from a family of positive density.





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