On the Absolute Galois Groups of Local Fields I

2018 ◽  
Author(s):  
Hiroo Miki
Keyword(s):  
Galois Groups ◽  
Local Fields ◽  
The Absolute

On Galois groups of local fields

2001 ◽  
pp. 344-365
Author(s):  
Ichiro Satake ◽  
Genjiro Fujisaki ◽  
Kazuya Kato ◽  
Masato Kurihara ◽  
Shoichi Nakajima
Keyword(s):  
Galois Groups ◽  
Local Fields

scholarly journals On the characterization of local fields by their absolute Galois groups

1979 ◽  
Vol 11 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Moshe Jarden ◽  
Jürgen Ritter
Keyword(s):  
Galois Groups ◽  
Local Fields

Galois groups of intersections of local fields

1978 ◽  
Vol 30 (4) ◽  
pp. 382-396 ◽  
Author(s):  
Wulf-Dieter Geyer
Keyword(s):  
Galois Groups ◽  
Local Fields

scholarly journals LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD

2019 ◽  
Vol 5 (2) ◽  
pp. 31
Author(s):  
Akram Lbekkouri
Keyword(s):  
Galois Group ◽  
Residue Field ◽  
Local Fields ◽  
Future Research ◽  
Full Description ◽  
Absolute Galois Group ◽  
Local Case ◽  
The Absolute ◽  
Short Section

The paper deals with some aspects of general local fields and tries to elucidate some obscure facts. Indeed, several questions remain open, in this domain of research, and literature is getting scarce. Broadly speaking, we present a full description of the absolute Galois group in all cases with answers on the solvability, prosolvability and procyclicity. Furthermore, we give a result that makes "some'' generalization to Abhyankar's Lemma in local case. Half-way a short section, containing a view of some future research loosely discussed, presents an attempt in the development of the theory. An Annexe elucidate several important points, concerning Hilbert's theory.

Galois groups acting on the multiplicative groups of local fields

2001 ◽  
pp. 366-367
Author(s):  
Ichiro Satake ◽  
Genjiro Fujisaki ◽  
Kazuya Kato ◽  
Masato Kurihara ◽  
Shoichi Nakajima
Keyword(s):  
Galois Groups ◽  
Local Fields ◽  
Multiplicative Groups

The absolute Galois groups of finite extensions of $${\mathbb{R}}(t)$$

2007 ◽  
Vol 89 (6) ◽  
pp. 524-529
Author(s):  
Dan Haran ◽  
M. Jarden
Keyword(s):  
Galois Groups ◽  
The Absolute
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