Dept Oral Exam
Speaker: Masoud Ataei Jaliseh (Western)
"GALOIS 2-EXTENSIONS"
Time: 12:00
Room: MC 107
The inverse Galois problem is a major question in mathematics. For
a given base field and a given finite group G, one would like to list all
Galois extensions L/F such that the Galois group of L/F is G.
In this work we shall solve this problem for all fields F , and for group
G of unipotent 4 × 4 matrices over F_2 . We also list all 16 U_4 (F_2 )-
extensions of Q_2 . The importance of these results is that they answer
the inverse Galois problem in some specific cases.
This is joint work with Jan Minac and Nguyen Duy Tan.