A characterization of galois field extensions of degree 3

1987 ◽  
Vol 15 (5) ◽  
pp. 927-933 ◽  
Author(s):  
Ina Kersten ◽  
Johannes Michaliček
Keyword(s):  
Galois Field ◽  
Field Extensions ◽  
Galois Field Extensions

scholarly journals On cubic Galois field extensions

2010 ◽  
Vol 130 (2) ◽  
pp. 307-317 ◽  
Author(s):  
Lothar Häberle
Keyword(s):  
Galois Field ◽  
Field Extensions ◽  
Galois Field Extensions

scholarly journals Counting Hopf Galois Structures on Non-Abelian Galois Field Extensions

1999 ◽  
Vol 218 (1) ◽  
pp. 81-92 ◽  
Author(s):  
Scott Carnahan ◽  
Lindsay Childs
Keyword(s):  
Galois Field ◽  
Field Extensions ◽  
Galois Field Extensions

scholarly journals Construction of semiabelian Galois extensions

1995 ◽  
Vol 37 (1) ◽  
pp. 99-104 ◽  
Author(s):  
Michael Stoll
Keyword(s):  
Galois Group ◽  
Galois Field ◽  
Galois Groups ◽  
Galois Extensions ◽  
Soluble Groups ◽  
Field Extensions ◽  
Galois Field Extensions

This paper shows how to construct Galois field extensions of Hilbertian fields with a given group out of some subclass (called ‘semiabelian groups’ by Matzat [2]) of all soluble groups as Galois group. This is done in a fairly explicit way by constructing polynomials whose Galois groups are universal in the sense that every group in the above subclass is obtained as a quotient of some of them.

scholarly journals Abelian Hopf Galois structures on prime-power Galois field extensions

2012 ◽  
Vol 364 (7) ◽  
pp. 3675-3684 ◽  
Author(s):  
S. C. Featherstonhaugh ◽  
A. Caranti ◽  
L. N. Childs
Keyword(s):  
Prime Power ◽  
Galois Field ◽  
Field Extensions ◽  
Galois Field Extensions
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