scholarly journals The inverse Galois problem for p-adic fields

2019 ◽  
Vol 2 (1) ◽  
pp. 393-409
Author(s):  
David Roe
Keyword(s):  
Inverse Galois Problem

scholarly journals The inverse Galois problem and rational points on moduli spaces

1991 ◽  
Vol 290 (1) ◽  
pp. 771-800 ◽  
Author(s):  
Michael D. Fried ◽  
Helmut V�lklein
Keyword(s):  
Moduli Spaces ◽  
Rational Points ◽  
Inverse Galois Problem

Semi-topological Galois Theory

2015 ◽  
Vol 22 (04) ◽  
pp. 687-706
Author(s):  
Hsuan-Yi Liao ◽  
Jyh-Haur Teh
Keyword(s):  
Galois Theory ◽  
Galois Groups ◽  
Braid Groups ◽  
Covering Spaces ◽  
Cyclic Groups ◽  
Inverse Galois Problem ◽  
Field Extensions ◽  
Galois Correspondence

We introduce splitting coverings to enhance the well known analogy between field extensions and covering spaces. Semi-topological Galois groups are defined for Weierstrass polynomials and a Galois correspondence is proved. Combining results from braid groups, we solve the topological inverse Galois problem. As an application, symmetric and cyclic groups are realized over ℚ.

scholarly journals On modular forms and the inverse Galois problem

2011 ◽  
Vol 363 (9) ◽  
pp. 4569-4584 ◽  
Author(s):  
Luis Dieulefait ◽  
Gabor Wiese
Keyword(s):  
Modular Forms ◽  
Inverse Galois Problem

scholarly journals Ramification in the Inverse Galois Problem

2021 ◽  
Vol 220 ◽  
pp. 34-60
Author(s):  
Benjamin Pollak
Keyword(s):  
Inverse Galois Problem
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