Differences of Bijections

Daniel Velleman (Amherst/UVM) 

October 28th, 4:00 PM, Votey 207

Suppose G is an abelian group.  Which functions from G to G can be written as a difference of two bijections?  I will discuss theorems of Marshall Hall, Jr. and Laszlo Fuchs that answer this question, as well as some generalizations.  This is joint work with Dan Ullman.