Colorado State University  Mathematical

Derangements in Finite Permutation Groups

By  Robert Guralnick
From  Department of Mathematics
University of Southern California
When  September 10, 2008
4:00 pm
Where  Engineering E104
Abstract  A derangement is a fixed point free permutation. By an old elementary
result of Jordan, every transitive finite permutation group contains a
derangement. We will discuss some recent refinements of this result on the proportion
of derangements together with applications to Brauer groups and rational
maps between curves. In particular, we will discuss the Fulman-Guralnick
solution of the Boston-Shalev conjecture on a lower bound for the proportion of
derangements for finite simple groups.
Jeff Achter

There will be Refreshments in Weber 117 at 3.30pm
The Colloquium counts as Seminar Credit for Mathematics Students.