Decision Problems for Groups Survey and Reflections.- The Word Problem for Solvable Groups and Lie Algebras.- Solution of the Conjugacy Problem in One-Relator Groups.- A Tour Around Finitely Presented Infinite Simple Groups.- The Geometry of Finitely Presented Infinite Simple Groups.- The Geometry of Rewriting Systems: A Proof of the Anick-Groves-Squier Theorem.- Combings of Groups.- Automatic Groups and Amalgams - A Survey.- Dehn Functions and l1-Norms of Finite Presentations.- Problems on Automatic Groups.