Infinite Linear Groups: An Account of the Group-Theoretic Properties of Infinite Groups of Matrices. Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

Table of Contents......Page 6
Prafece......Page 2
Notation......Page 7
1. Basic Concepts......Page 11
2. Some Examples of Linear Groups......Page 27
3. Soluble Linear Groups......Page 51
4. Finitely Generated Linear Groups......Page 60
5. CZ-Groups and the Zariski Topology......Page 82
6. The Homomorphism Theorems......Page 92
7. The Jordan Decomposition and Splittable Linear Groups......Page 100
8. The Upper Central Series in Linear Groups......Page 111
9. Periodic Linear Groups......Page 122
10. Rank Restrictions, Varietal Properties and Wreath Products......Page 144
11. Supersoluble and Locally Supersoluble Linear Groups......Page 165
12. A Localizing Technique and Applications......Page 184
13. Module Automorphism Groups over Commutative Rings......Page 196
14. Appendix on Algebraic Groups......Page 212
Suggestions for Further Reading......Page 229
Bibliography......Page 231
Index......Page 236