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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1997
|
| Series: | London Mathematical Society lecture note series
240 |
| Subjects: | |
| Links: | https://doi.org/10.1017/CBO9780511566080 https://doi.org/10.1017/CBO9780511566080 https://doi.org/10.1017/CBO9780511566080 |
| 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 309 pages) |
| ISBN: | 9780511566080 |
| DOI: | 10.1017/CBO9780511566080 |
Staff View
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| 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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| author | Wagner, Frank O. 1964- |
| author_GND | (DE-588)173132057 |
| author_facet | Wagner, Frank O. 1964- |
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| 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 |
| ctrlnum | (ZDB-20-CBO)CR9780511566080 (OCoLC)852654187 (DE-599)BVBBV043942059 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV043942059 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:18Z |
| institution | BVB |
| isbn | 9780511566080 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351029 |
| oclc_num | 852654187 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (ix, 309 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Wagner, Frank O. 1964- Verfasser (DE-588)173132057 aut Stable groups Frank O. Wagner Cambridge Cambridge University Press 1997 1 online resource (ix, 309 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 240 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Model theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Stabile Gruppe (DE-588)4384931-3 gnd rswk-swf Stabile Gruppe (DE-588)4384931-3 s Modelltheorie (DE-588)4114617-7 s Algebraische Geometrie (DE-588)4001161-6 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-59839-2 https://doi.org/10.1017/CBO9780511566080 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wagner, Frank O. 1964- Stable groups 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 Model theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd Modelltheorie (DE-588)4114617-7 gnd Stabile Gruppe (DE-588)4384931-3 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4114617-7 (DE-588)4384931-3 |
| 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 Model theory Geometry, Algebraic Algebraische Geometrie (DE-588)4001161-6 gnd Modelltheorie (DE-588)4114617-7 gnd Stabile Gruppe (DE-588)4384931-3 gnd |
| topic_facet | Group theory Model theory Geometry, Algebraic Algebraische Geometrie Modelltheorie Stabile Gruppe |
| url | https://doi.org/10.1017/CBO9780511566080 |
| work_keys_str_mv | AT wagnerfranko stablegroups |