Groups of Order 32 as Galois Groups
Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 1-34
We find the obstructions to realizability of groups of order 32 as
Galois groups over arbitrary field of characteristic not 2. We discuss explicit
extensions and automatic realizations as well.
Keywords:
Embedding Problem, Galois Extension, Quaternion Algebra, Obstruction
@article{SMJ2_2007_33_1_a0,
author = {Michailov, Ivo},
title = {Groups of {Order} 32 as {Galois} {Groups}},
journal = {Serdica Mathematical Journal},
pages = {1--34},
year = {2007},
volume = {33},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2007_33_1_a0/}
}
Michailov, Ivo. Groups of Order 32 as Galois Groups. Serdica Mathematical Journal, Tome 33 (2007) no. 1, pp. 1-34. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_1_a0/