Polycyclic Groups
Polycyclic Groups
The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory. As well as providing a connected and self-contained account of the group-theoretical background, it explains in detail how deep methods of number theory and algebraic group theory have been used to achieve some very recent and rather spectacular advances in the subject. Up to now, most of this material has only been available in scattered research journals, and some of it is new. This book is the only unified account of these developments, and will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject.
Product details
No date availablePaperback
9780521023948
304 pages
229 × 155 × 19 mm
0.461kg
Table of Contents
- Preface
- Notation
- 1. The elements, 2. Mal'cev's theorems
- 3. Extensions
- 4. Arithmetical methods
- 5. Faithful representations
- 6. On unipotent groups
- 7. Semi-simple splitting
- 8. Soluble Z-linear groups
- 9. A finiteness theorem
- 10. Polycyclic groups with isomorphic finite quotients
- 11. Examples
- Appendix
- References
- Index.
