Ross Willard, Department of Pure Mathematics, University of Waterloo
“Fundamentals of finite modular lattices, II.”
Part 2 in a series of lectures aiming to prove that if L is a finite modular lattice whose atoms join to 1, then L decomposes as a direct product where each factor is either a Boolean algebra or the subspace lattice of a finite projective geometry. In this lecture I will establish properties of the height function in modular lattices, and then begin the proof of the exchange property for atoms.
MC 5403