Abstract
CONTENTS Introduction Chapter I. Methods for infinite linear groups § 1. The method of algebraic groups § 2. The Mal'tsev-Platonov approximation method § 3. Applications of the theory of algebras Chapter II. The structure of the classical groups § 4. Some general facts § 5. The Dieudonné determinant § 6. The reduced norm and the Tannaka-Artin problem § 7. Unitary groups § 8. Anisotropic groups § 9. Subgroups of the classical groups over division rings Chapter III. Finite linear groups § 10. Structure theory § 11. Groups generated by quadratic matrices § 12. Groups generated by pseudoreflections § 13. Linear groups of small degrees § 14. Intermediate subgroups and related problems References
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