Penn Arts & Sciences Logo

Algebra Seminar

Friday, February 9, 2024 - 3:30pm

Deependra Singh

University of Pennsylvania


University of Pennsylvania

DRL 4N30

Cross-listed with algebra seminar.

Given a field K, one can ask which finite groups G are Galois groups of field extensions L/K such that L is a maximal subfield of a division algebra with center K. Such a group G is called admissible over K. Like the inverse Galois problem, the question remains open in general. But unlike the inverse Galois problem, the groups that occur in this fashion are generally quite restricted. In this talk, I will discuss some results and open questions over number fields.