TY  - BOOK
AU  - Wagner,F.
TI  - Stable Groups
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511566080 (ebook)
AV  - QA174.2  .W34 1997
U1  - 512/.2 21
PY  - 1997///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Group theory
KW  - Model theory
KW  - Geometry, Algebraic
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - The study of stable groups connects model theory, algebraic geometry and group theory. It analyses groups which possess a certain very general dependence relation (Shelah's notion of 'forking'), and tries to derive structural properties from this. These may be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a group as an algebraic group), or model-theoretic (description of the definable sets). In this book, the general theory of stable groups is developed from the beginning (including a chapter on preliminaries in group theory and model theory), concentrating on the model- and group-theoretic aspects. It brings together the various extensions of the original finite rank theory under a unified perspective and provides a coherent exposition of the knowledge in the field
UR  - http://dx.doi.org/10.1017/CBO9780511566080
ER  -