Some properties of the absolute galois group of a hilbertian field

1986 ◽  
Vol 55 (2) ◽  
pp. 173-183 ◽  
Author(s):  
Zoé Chatzidakis
Keyword(s):  
Galois Group ◽  
Absolute Galois Group ◽  
The Absolute

scholarly journals The Sylow subgroups of the absolute Galois group Gal(Q)

2015 ◽  
Vol 284 ◽  
pp. 186-212 ◽  
Author(s):  
Lior Bary-Soroker ◽  
Moshe Jarden ◽  
Danny Neftin
Keyword(s):  
Galois Group ◽  
Absolute Galois Group ◽  
Sylow Subgroups ◽  
The Absolute

Zeta functions of twisted modular curves

2006 ◽  
Vol 80 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Cristian Virdol
Keyword(s):  
Zeta Function ◽  
Galois Group ◽  
Complex Plane ◽  
Zeta Functions ◽  
Modular Curves ◽  
Absolute Galois Group ◽  
Modular Curve ◽  
The Absolute

AbstractIn this paper we compute and continue meromorphically to the whole complex plane the zeta function for twisted modular curves. The twist of the modular curve is done by a modprepresentation of the absolute Galois group.

scholarly journals On L-Functions of Twisted 3-Dimensional Quaternionic Shimura Varieties

2008 ◽  
Vol 190 ◽  
pp. 87-104
Author(s):  
Cristian Virdol
Keyword(s):  
Galois Group ◽  
Complex Plane ◽  
Zeta Functions ◽  
Shimura Varieties ◽  
Absolute Galois Group ◽  
3 Dimensional ◽  
Entire Complex ◽  
The Absolute

In this paper we compute and continue meromorphically to the entire complex plane the zeta functions of twisted quaternionic Shimura varieties of dimension 3. The twist of the quaternionic Shimura varieties is done by a mod ℘ representation of the absolute Galois group.

scholarly journals Real free groups and the absolute Galois group of R(t)

1985 ◽  
Vol 37 ◽  
pp. 155-165 ◽  
Author(s):  
Dan Haran ◽  
Moshe Jarden
Keyword(s):  
Galois Group ◽  
Free Groups ◽  
Absolute Galois Group ◽  
The Absolute

The Absolute Galois Group of a Rational Function Field in Characteristic Zero is a Semi-Direct Product

1984 ◽  
Vol 27 (3) ◽  
pp. 313-315 ◽  
Author(s):  
Lou Van Den Dries ◽  
Paulo Ribenboim
Keyword(s):  
Galois Group ◽  
Rational Function ◽  
Direct Product ◽  
Characteristic Zero ◽  
Function Field ◽  
Profinite Group ◽  
Absolute Galois Group ◽  
Rational Function Field ◽  
Free Profinite Group ◽  
The Absolute

AbstractLet K be a field of characteristic 0 and t an indeterminate. It is shown that the absolute Galois group of K(t) is the semi-direct product of a free profinite group with the absolute Galois group of K.

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