Witt Rings and Galois Groups

1996 ◽  
Vol 144 (1) ◽  
pp. 35 ◽  
Author(s):  
Jan Minac ◽  
Michel Spira
Keyword(s):  
1995 ◽  
Vol 47 (6) ◽  
pp. 1274-1289 ◽  
Author(s):  
Ján Mináč ◽  
Tara L. Smith

AbstractTo each field F of characteristic not 2, one can associate a certain Galois group 𝒢F, the so-called W-group of F, which carries essentially the same information as the Witt ring W(F) of F. In this paper we show that direct products of Witt rings correspond to free products of these Galois groups (in the appropriate category), group ring construction of Witt rings corresponds to semidirect products of W-groups, and the basic part of W(F) is related to the center of 𝒢F. In an appendix we provide a complete list of Witt rings and corresponding w-groups for fields F with |Ḟ/Ḟ2| ≤ 16.


1999 ◽  
Vol 148 (1) ◽  
pp. 105-160 ◽  
Author(s):  
Alejandro Adem ◽  
Dikran B Karagueuzian ◽  
Ján Mináč
Keyword(s):  

1997 ◽  
Vol 225 (2) ◽  
pp. 245-261 ◽  
Author(s):  
Ido Efrat
Keyword(s):  

1987 ◽  
Vol 87 (1) ◽  
pp. 13-61 ◽  
Author(s):  
Nicholas M. Katz
Keyword(s):  

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