Introduction Acknowledgements Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings Chapter 2. Basic tools from geometric group theory Chapter 3. Kac-Moody groups and algebraic groups Chapter 4. Isomorphisms of Kac-Moody groups: an overview Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups Chapter 8. Unitary forms of Kac-Moody groups