Topics in infinite group theory: Nielsen methods, covering spaces, and hyperbolic groups
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In...
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| Beteiligte Personen: | , , , |
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2021]
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| Schriftenreihe: | De Gruyter STEM
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| Schlagwörter: | |
| Links: | https://doi.org/10.1515/9783110673371?locatt=mode:legacy https://doi.org/10.1515/9783110673371 https://doi.org/10.1515/9783110673371?locatt=mode:legacy https://doi.org/10.1515/9783110673371 |
| Zusammenfassung: | This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems |
| Umfang: | 1 Online-Ressource (IX, 382 Seiten) Illustrationen |
| ISBN: | 9783110673371 9783110673401 |
| DOI: | 10.1515/9783110673371 |
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Datensatz im Suchindex
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| author | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard |
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| author_facet | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard |
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| discipline | Mathematik |
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| id | DE-604.BV047521440 |
| illustrated | Illustrated |
| indexdate | 2025-02-18T19:11:20Z |
| institution | BVB |
| isbn | 9783110673371 9783110673401 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032922167 |
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| physical | 1 Online-Ressource (IX, 382 Seiten) Illustrationen |
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| publisher | De Gruyter |
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| spelling | Fine, Benjamin 1948- Verfasser (DE-588)132345048 aut Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke Berlin ; Boston De Gruyter [2021] © 2021 1 Online-Ressource (IX, 382 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier De Gruyter STEM This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems Hyperbolische Gruppen Nielsen Theorie Überlagerungen MATHEMATICS / Algebra / General bisacsh Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Geometrische Gruppentheorie (DE-588)4651615-3 s Kombinatorische Gruppentheorie (DE-588)4219556-1 s DE-604 Moldenhauer, Anja Verfasser (DE-588)1147606471 aut Rosenberger, Gerhard 1944- Verfasser (DE-588)13155221X aut Wienke, Leonard Verfasser (DE-588)1244883131 aut Erscheint auch als Druck-Ausgabe 978-3-11-067334-0 (DE-604)BV047588739 https://doi.org/10.1515/9783110673371 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Fine, Benjamin 1948- Moldenhauer, Anja Rosenberger, Gerhard 1944- Wienke, Leonard Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Hyperbolische Gruppen Nielsen Theorie Überlagerungen MATHEMATICS / Algebra / General bisacsh Gruppentheorie (DE-588)4072157-7 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4651615-3 (DE-588)4219556-1 |
| title | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_auth | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_exact_search | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups |
| title_full | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_fullStr | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_full_unstemmed | Topics in infinite group theory Nielsen methods, covering spaces, and hyperbolic groups Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Leonard Wienke |
| title_short | Topics in infinite group theory |
| title_sort | topics in infinite group theory nielsen methods covering spaces and hyperbolic groups |
| title_sub | Nielsen methods, covering spaces, and hyperbolic groups |
| topic | Hyperbolische Gruppen Nielsen Theorie Überlagerungen MATHEMATICS / Algebra / General bisacsh Gruppentheorie (DE-588)4072157-7 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| topic_facet | Hyperbolische Gruppen Nielsen Theorie Überlagerungen MATHEMATICS / Algebra / General Gruppentheorie Geometrische Gruppentheorie Kombinatorische Gruppentheorie |
| url | https://doi.org/10.1515/9783110673371 |
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