**UM Math Graduate Student Seminar**

Kyle Celano*University of Miami ***will present**

**Bruhat Order on Coxeter Groups**

Friday, September 7th, 2018, 5:00pm

Ungar Building Room 402**Abstract:**

Coxeter groups were introduced by Coxeter in 1934 as

abstractions of reflection groups such as the symmetric or dihedral

groups. In this talk, we discuss a partial order called the Bruhat order

which orders the elements of a Coxeter group by their expression in terms

of the generators. We shall see how the Bruhat order encodes the structure

of Coxeter groups and discuss some of its combinatorial properties.