Hilbert’s Tenth Problem for function fields of varieties over algebraically closed fields of positive characteristic

2011 ◽  
Vol 168 (1) ◽  
pp. 1-16
Author(s):  
Kirsten Eisenträger
Keyword(s):  
Positive Characteristic ◽  
Function Fields ◽  
Hilbert's Tenth Problem ◽  
Hilbert’S Tenth Problem ◽  
Closed Fields ◽  
Algebraically Closed Fields

On splitting of the normalizer of a maximal torus in orthogonal groups

2016 ◽  
Vol 16 (09) ◽  
pp. 1750174 ◽  
Author(s):  
Alexey Galt
Keyword(s):  
Finite Fields ◽  
Maximal Torus ◽  
Positive Characteristic ◽  
Orthogonal Groups ◽  
Type Formula ◽  
Closed Fields ◽  
Algebraically Closed Fields

We answer the question of splitting of the normalizer of a maximal torus in orthogonal groups of type [Formula: see text] and [Formula: see text] over finite fields and algebraically closed fields of positive characteristic.

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