Stable groups /:
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 (nilpote...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Cambridge University Press,
1997.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
240. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (ix, 309 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107089082 1107089085 9780511566080 0511566085 1299707165 9781299707160 |
Internformat
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| 490 | 1 | |a London Mathematical Society lecture notes series ; |v 240 | |
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| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 520 | |a 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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| 650 | 6 | |a Théorie des modèles. | |
| 650 | 6 | |a Géométrie algébrique. | |
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| 650 | 7 | |a Modèles |x Théorie des. |2 ram | |
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Datensatz im Suchindex
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| author | Wagner, Frank O. (Frank Olaf), 1964- |
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| author_facet | Wagner, Frank O. (Frank Olaf), 1964- |
| author_role | |
| author_sort | Wagner, Frank O. 1964- |
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| contents | Groups & Gist: Preface -- Groups & Gratitude: Acknowledgements -- 0. Groups & Goals -- 1. Groups & Generality -- 2. Groups & Genericity -- 3. Groups & Grandeur -- 4. Groups & Geometry -- 5. Groups & Grades -- Groups & Glory: References -- Groups & Gobbledegook: Index. |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:21:26Z |
| institution | BVB |
| isbn | 9781107089082 1107089085 9780511566080 0511566085 1299707165 9781299707160 |
| language | English |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture notes series ; |
| spelling | Wagner, Frank O. (Frank Olaf), 1964- https://id.oclc.org/worldcat/entity/E39PCjDxVHbd3R7FbK9FRWRPKm http://id.loc.gov/authorities/names/n97003286 Stable groups / Frank O. Wagner. New York : Cambridge University Press, 1997. 1 online resource (ix, 309 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture notes series ; 240 Includes bibliographical references and index. Groups & Gist: Preface -- Groups & Gratitude: Acknowledgements -- 0. Groups & Goals -- 1. Groups & Generality -- 2. Groups & Genericity -- 3. Groups & Grandeur -- 4. Groups & Geometry -- 5. Groups & Grades -- Groups & Glory: References -- Groups & Gobbledegook: Index. Print version record. English. 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. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des groupes. Théorie des modèles. Géométrie algébrique. MATHEMATICS Group Theory. bisacsh Geometry, Algebraic fast Group theory fast Model theory fast Gruppentheorie gnd Modelltheorie gnd http://d-nb.info/gnd/4114617-7 Algebraische Geometrie gnd http://d-nb.info/gnd/4001161-6 Groepentheorie. gtt Modeltheorie. gtt Algebraïsche meetkunde. gtt Groupes Théorie des. ram Modèles Théorie des. ram Géométrie algébrique. ram has work: Stable groups (Text) https://id.oclc.org/worldcat/entity/E39PCH3kTJXJHJxqBYVwXx7gyq https://id.oclc.org/worldcat/ontology/hasWork Print version: Wagner, Frank O. (Frank Olaf), 1964- Stable groups. New York : Cambridge University Press, 1997 0521598397 (DLC) 97004011 (OCoLC)36225310 London Mathematical Society lecture note series ; 240. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569296 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569296 Volltext |
| spellingShingle | Wagner, Frank O. (Frank Olaf), 1964- Stable groups / London Mathematical Society lecture note series ; Groups & Gist: Preface -- Groups & Gratitude: Acknowledgements -- 0. Groups & Goals -- 1. Groups & Generality -- 2. Groups & Genericity -- 3. Groups & Grandeur -- 4. Groups & Geometry -- 5. Groups & Grades -- Groups & Glory: References -- Groups & Gobbledegook: Index. Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des groupes. Théorie des modèles. Géométrie algébrique. MATHEMATICS Group Theory. bisacsh Geometry, Algebraic fast Group theory fast Model theory fast Gruppentheorie gnd Modelltheorie gnd http://d-nb.info/gnd/4114617-7 Algebraische Geometrie gnd http://d-nb.info/gnd/4001161-6 Groepentheorie. gtt Modeltheorie. gtt Algebraïsche meetkunde. gtt Groupes Théorie des. ram Modèles Théorie des. ram Géométrie algébrique. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85057512 http://id.loc.gov/authorities/subjects/sh85086421 http://id.loc.gov/authorities/subjects/sh85054140 http://d-nb.info/gnd/4114617-7 http://d-nb.info/gnd/4001161-6 |
| title | Stable groups / |
| title_auth | Stable groups / |
| title_exact_search | Stable groups / |
| title_full | Stable groups / Frank O. Wagner. |
| title_fullStr | Stable groups / Frank O. Wagner. |
| title_full_unstemmed | Stable groups / Frank O. Wagner. |
| title_short | Stable groups / |
| title_sort | stable groups |
| topic | Group theory. http://id.loc.gov/authorities/subjects/sh85057512 Model theory. http://id.loc.gov/authorities/subjects/sh85086421 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des groupes. Théorie des modèles. Géométrie algébrique. MATHEMATICS Group Theory. bisacsh Geometry, Algebraic fast Group theory fast Model theory fast Gruppentheorie gnd Modelltheorie gnd http://d-nb.info/gnd/4114617-7 Algebraische Geometrie gnd http://d-nb.info/gnd/4001161-6 Groepentheorie. gtt Modeltheorie. gtt Algebraïsche meetkunde. gtt Groupes Théorie des. ram Modèles Théorie des. ram Géométrie algébrique. ram |
| topic_facet | Group theory. Model theory. Geometry, Algebraic. Théorie des groupes. Théorie des modèles. Géométrie algébrique. MATHEMATICS Group Theory. Geometry, Algebraic Group theory Model theory Gruppentheorie Modelltheorie Algebraische Geometrie Groepentheorie. Modeltheorie. Algebraïsche meetkunde. Groupes Théorie des. Modèles Théorie des. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569296 |
| work_keys_str_mv | AT wagnerfranko stablegroups |