Model Theory of Groups and Automorphism Groups (Paperback)

Preface; 1. Introduction; 2. Finite covers; 3. Definable subgroups of algebraic groups over pseudo-finite fields; 4. Groups in pseudo-finite fields; 5. The groups of automorphisms of the field of complex numbers leaving fixed the algebraic numbers are simple; 6. The automorphism groups of the field of complex numbers are complete; 7. The algebra of an age; 8. Elimination of inverses in groups; 9. Model-theoretic properties of polycyclic-by-finite groups; 10. Non-standard free groups; 11. Finitely generated subgroups of the free Z(t)-group on two generators; 12. Rings of definable scalars and biendomorphism rings; 13. Recent results on simple first-order theories.