scholarly journals On the quadratic norm symbol in local number fields

1961 ◽  
Vol 13 (4) ◽  
pp. 416-430 ◽  
Author(s):  
Katsumi SHIRATANI
Keyword(s):  
Number Fields ◽  
Local Number

Dixon–Selberg summation over local number fields

1992 ◽  
Vol 33 (6) ◽  
pp. 2111-2114
Author(s):  
E. Thiran ◽  
J. Weyers
Keyword(s):  
Number Fields ◽  
Local Number

Biquadratic Extensions with One Break

2002 ◽  
Vol 45 (2) ◽  
pp. 168-179 ◽  
Author(s):  
Nigel P. Byott ◽  
G. Griffith Elder
Keyword(s):  
Number Fields ◽  
Module Structure ◽  
Galois Module ◽  
Galois Module Structure ◽  
Local Number

AbstractWe explicitly describe, in terms of indecomposable ℤ2[G]-modules, the Galois module structure of ideals in totally ramified biquadratic extensions of local number fields with only one break in their ramification filtration. This paper completeswork begun in [Elder: Canad. J.Math. (5) 50(1998), 1007–1047].

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