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With the classification of finite groups an era of research in that subject ended. In this symposium volume twenty-nine key figures in the classification programme analyse the likely directions research will take in the future.
1. Computation; 2. Using the Classification; 3. Properties of K-Groups; 4. Groups and Algebras; 5. Local Analysis; 6. Amalgams and Finite Geometries; 7. Representation Theory; 8. Rigidity and Galois Groups; 9. Other Connections with Number Theory; 10. Other Directions.