Field Extensions and Galois Theory (Encyclopedia of Mathematics and Its Applications, Vol. 22)

1985 ◽  
Vol 69 (447) ◽  
pp. 68
Author(s):  
Haya Freedman ◽  
Julio R. Bastida
Keyword(s):  
Galois Theory ◽  
Field Extensions

Field Extensions and Galois Theory

1984 ◽  
Author(s):  
Julio R. Bastida ◽  
Roger Lyndon
Keyword(s):  
Galois Theory ◽  
Field Extensions

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 the Galois theory of purely inseparable field extensions

1970 ◽  
Vol 76 (5) ◽  
pp. 1011-1015 ◽  
Author(s):  
Murray Gerstenhaber ◽  
Avigdor Zaromp
Keyword(s):  
Galois Theory ◽  
Field Extensions
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