scholarly journals Relative Galois module structure of rings of integers of absolutely abelian number fields

2008 ◽  
Vol 2008 (620) ◽  
Author(s):  
Henri Johnston
Keyword(s):  
Number Fields ◽  
Module Structure ◽  
Galois Module ◽  
Galois Module Structure ◽  
Rings Of Integers

scholarly journals Galois module structure of units in real biquadratic number fields

2004 ◽  
Vol 111 (2) ◽  
pp. 105-124 ◽  
Author(s):  
Marcin Mazur ◽  
Stephen V. Ullom
Keyword(s):  
Number Fields ◽  
Module Structure ◽  
Galois Module ◽  
Galois Module Structure

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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