====== Thomas Zaslavsky (Binghamton) ======

====== Biased Expansion Graphs and their Cryptomorphisms ======

===== Abstract for the Combinatorics and Number Theory and Algebra Seminars 2003 September 17 =====

Particular kinds of biased expansion graphs are equivalent to the Dowling lattices of a group, multary quasigroups, and transversal (g-1,1)-designs. I will explain what all these are, how they are related, and what the structure theorem for biased expansions says about them.