Graduate Student Organization Seminar
Date: December 3, 2015
Time: 4:00PM - 5:00PM
Location: Blocker 506A
Speaker: Jaikun Pan, Texas A&M University
Title: The Groups of Polynomial Permutations Over Finite Commutative Rings
Abstract: Finite fields have excellent properties and so do the functions over them, while things are not as satisfactory when it's just a finite commutative ring. In this talk I will discuss polynomial permutations over such rings, and focus on the structure of the group of polynomial permutations over a special ring - the 2nd Witt ring of an arbitrary finite field. Some elementary knowledge about the semi-direct product of groups, finite fields, and algebraic number theory should be helpful.