Stable Groups / F. Wagner.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 240Publisher: Cambridge : Cambridge University Press, 1997Description: 1 online resource (320 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511566080 (ebook)Subject(s): Group theory | Model theory | Geometry, AlgebraicAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA174.2 | .W34 1997Online resources: Click here to access online Summary: 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK12087 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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