Higher Derivation Galois Theory of Inseparable Field Extensions

1996 ◽  
pp. 187-220 ◽  
Author(s):  
James K. Deveney ◽  
John N. Mordeson
Author(s):  
Julio R. Bastida ◽  
Roger Lyndon

2015 ◽  
Vol 22 (04) ◽  
pp. 687-706
Author(s):  
Hsuan-Yi Liao ◽  
Jyh-Haur Teh

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.


1970 ◽  
Vol 76 (5) ◽  
pp. 1011-1015 ◽  
Author(s):  
Murray Gerstenhaber ◽  
Avigdor Zaromp

Sign in / Sign up

Export Citation Format

Share Document