MATH Seminar

Title: Admissible Groups Over Number Fields
Seminar: Algebra
Speaker: Deependra Singh, PhD of Emory University
Contact: Santiago Arango, santiago.arango@emory.edu
Date: 2024-09-10 at 4:00PM
Venue: MSC W303
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Abstract: 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 \emph{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 problems about groups that are admissible over number fields.