Event time:

Thursday, February 23, 2023 - 4:00pm

Location:

LOM 215

Speaker:

Eilidh McKemmie

Speaker affiliation:

Rutgers University

Event description:

The Galois group of an additive polynomial over a finite field is contained in a finite general linear group. We will discuss three different probability distributions on these polynomials, and estimate the probability that a random additive polynomial has a “large” Galois group. Our computations use a trick that gives us characteristic polynomials of elements of the Galois group, so we may use our knowledge of the maximal subgroups of GL(n,q). This is joint work with Lior Bary-Soroker and Alexei Entin.