scholarly journals Honda formal group in unramified p-extension of local field as Galois module

2018 ◽  
Vol 5(63) (4) ◽  
Author(s):  
Tigran L. Hakobyan ◽  
Sergei V. Vostokov
Keyword(s):  
Local Field ◽  
Formal Group ◽  
Galois Module ◽  
Honda Formal Group

scholarly journals Regular formal modules in local fields and irregularly degree

2020 ◽  
Vol 65 (4) ◽  
pp. 588-596
Author(s):  
Natalya K. Vlaskina ◽  
◽  
Sergei V. Vostokov ◽  
Petr N. Pital’ ◽  
Aleksey E. Tsybyshiev ◽  
...  
Keyword(s):  
Positive Integer ◽  
Local Field ◽  
Sufficient Conditions ◽  
Formal Group ◽  
Necessary And Sufficient Conditions ◽  
Local Fields ◽  
Ramification Index ◽  
Necessary And Sufficient ◽  
Primitive Roots

In this paper we investigate the irregular degree of finite not ramified local field extantions with respect to a polynomial formal group and in the multiplicative case. There was found necessary and sufficient conditions for the existence of primitive roots of ps power from 1 and (endomorphism [ps]Fm) in L-th unramified extension of the local field K (for all positive integer s). These conditions depend only on the ramification index of the maximal abelian subextension of the field K Ka/Qp.

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\$.

Vagus Nerve Stimulation Induced Synchrony Modulation of Local Field Potential in the Rat Cerebral Cortex

2013 ◽  
Vol 133 (8) ◽  
pp. 1493-1500 ◽  
Author(s):  
Ryuji Kano ◽  
Kenichi Usami ◽  
Takahiro Noda ◽  
Tomoyo I. Shiramatsu ◽  
Ryohei Kanzaki ◽  
...  
Keyword(s):  
Cerebral Cortex ◽  
Vagus Nerve ◽  
Local Field ◽  
Nerve Stimulation ◽  
Local Field Potential ◽  
Vagus Nerve Stimulation ◽  
Field Potential ◽  
Rat Cerebral Cortex
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