Title: Weak closure and Oliver's p-group conjecture
Authors: David J. Green (Jena, Germany) and Justin Lynd (Ohio State)

Abstract:
To date almost all verifications of Oliver's p-group conjecture have
proceeded by verifying a stronger conjecture about weakly closed
quadratic subgroups. We construct a group of order 3^n for n = 49
which refutes the weakly closed conjecture but satisfies Oliver's
conjecture.

Status: Submitted.