Ideals of an abelian p-extension of a local field as Galois modules

1979 ◽  
Vol 11 (4) ◽  
pp. 567-584 ◽  
Author(s):  
S. V. Vostokov
Keyword(s):  
1993 ◽  
Vol 64 (1) ◽  
pp. 705-712
Author(s):  
R. P. Mokrinskaya ◽  
S. V. Vostokov
Keyword(s):  

2006 ◽  
Vol 92 (2) ◽  
pp. 307-341 ◽  
Author(s):  
JÁN MINÁČ ◽  
ANDREW SCHULTZ ◽  
JOHN SWALLOW

In the mid-1960s Borevi$\setminus$v\{c\} and Faddeev initiated the study of the Galois module structure of groups of \$p\$th-power classes of cyclic extensions \$K/F\$ of \$p\$th-power degree. They determined the structure of these modules in the case when \$F\$ is a local field. In this paper we determine these Galois modules for all base fields \$F\$.


2013 ◽  
Vol 133 (8) ◽  
pp. 1493-1500 ◽  
Author(s):  
Ryuji Kano ◽  
Kenichi Usami ◽  
Takahiro Noda ◽  
Tomoyo I. Shiramatsu ◽  
Ryohei Kanzaki ◽  
...  

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