Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module

2018 ◽  
Vol 51 (4) ◽  
pp. 317-321
Author(s):  
T. L. Hakobyan ◽  
S. V. Vostokov
Keyword(s):  
Local Field ◽  
Galois Module ◽  
Formal Module

scholarly journals GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE pn

2006 ◽  
Vol 92 (2) ◽  
pp. 307-341 ◽  
Author(s):  
JÁN MINÁČ ◽  
ANDREW SCHULTZ ◽  
JOHN SWALLOW
Keyword(s):  
Local Field ◽  
Module Structure ◽  
Galois Module ◽  
Galois Module Structure ◽  
Galois Modules

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\$.

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