Essays in Group Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1987
|
| Schriftenreihe: | Mathematical Sciences Research Institute Publications
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov's paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers |
| Beschreibung: | 1 Online-Ressource (VII, 342p. 46 illus) |
| ISBN: | 9781461395867 9781461395881 |
| ISSN: | 0940-4740 |
| DOI: | 10.1007/978-1-4613-9586-7 |
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| 500 | |a Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov's paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers | ||
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Datensatz im Suchindex
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| author | Gersten, S. M. |
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| author_sort | Gersten, S. M. |
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| dewey-full | 512.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.2 |
| dewey-search | 512.2 |
| dewey-sort | 3512.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9586-7 |
| format | Electronic eBook |
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| isbn | 9781461395867 9781461395881 |
| issn | 0940-4740 |
| language | English |
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| spelling | Gersten, S. M. Verfasser aut Essays in Group Theory edited by S. M. Gersten New York, NY Springer New York 1987 1 Online-Ressource (VII, 342p. 46 illus) txt rdacontent c rdamedia cr rdacarrier Mathematical Sciences Research Institute Publications 8 0940-4740 Essays in Group Theory contains five papers on topics of current interest which were presented in a seminar at MSRI, Berkeley in June, 1985. Special mention should be given to Gromov's paper, one of the most significant in the field in the last decade. It develops the theory of hyperbolic groups to include a version of small cancellation theory sufficiently powerful to recover deep results of Ol'shanskii and Rips. Each of the remaining papers, by Baumslag and Shalen, Gersten, Shalen, and Stallings contains gems. For example, the reader will delight in Stallings' explicit construction of free actions of orientable surface groups on R-trees. Gersten's paper lays the foundations for a theory of equations over groups and contains a very quick solution to conjugacy problem for a class of hyperbolic groups. Shalen's article reviews the rapidly expanding theory of group actions on R-trees and the Baumslag-Shalen article uses modular representation theory to establish properties of presentations whose relators are pth-powers Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Gruppentheorie (DE-588)4072157-7 s 2\p DE-604 https://doi.org/10.1007/978-1-4613-9586-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gersten, S. M. Essays in Group Theory Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4143413-4 |
| title | Essays in Group Theory |
| title_auth | Essays in Group Theory |
| title_exact_search | Essays in Group Theory |
| title_full | Essays in Group Theory edited by S. M. Gersten |
| title_fullStr | Essays in Group Theory edited by S. M. Gersten |
| title_full_unstemmed | Essays in Group Theory edited by S. M. Gersten |
| title_short | Essays in Group Theory |
| title_sort | essays in group theory |
| topic | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematics Group theory Group Theory and Generalizations Mathematik Gruppentheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-1-4613-9586-7 |
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