Peter SinAffiliation: University of Florida Email: sin@ufl.edu Title Of Talk: Title: The critical groups of Paley graphs Abstract: To each connected graph there is associated a certain abelian group called its critical group (or sandpile group, or graph jacobian), whose order is the number of spanning trees, and which is connected to the abelian sandpile model in physics and to chipfiring games. The Paley graphs are a wellknown family of graphs defined using quadratic residues in certain finite fields. We compute the critical graphs of the Paley graphs and related graphs, making use discrete Fourier transforms and properties of Jacobi sums. This is joint work with David Chandler and Qing Xiang.
Last update made Mon Feb 15 12:27:29 PST 2016.
