Combinatorial group theory: a topological approach
In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1989
|
| Series: | London Mathematical Society student texts
14 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important method, which is then applied to yield the major Schreier and Kurosh subgroup theorems. The author presents a full account of Bass-Serre theory and discusses the word problem, in particular, its unsolvability and the Higman Embedding Theorem. Included for completeness are the relevant results of computability theory |
| Physical Description: | 1 Online-Ressource (x, 310 Seiten) |
| ISBN: | 9780511565878 |
| DOI: | 10.1017/CBO9780511565878 |
Staff View
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| id | DE-604.BV043940133 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9780511565878 |
| language | English |
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| publishDate | 1989 |
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| spelling | Cohen, Daniel E. 1934- Verfasser (DE-588)1029543038 aut Combinatorial group theory a topological approach Daniel E. Cohen Cambridge Cambridge University Press 1989 1 Online-Ressource (x, 310 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 14 In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important method, which is then applied to yield the major Schreier and Kurosh subgroup theorems. The author presents a full account of Bass-Serre theory and discusses the word problem, in particular, its unsolvability and the Higman Embedding Theorem. Included for completeness are the relevant results of computability theory Combinatorial group theory Topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 s Topologie (DE-588)4060425-1 s DE-604 Topologische Gruppe (DE-588)4135793-0 s Gruppentheorie (DE-588)4072157-7 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Kombinatorik (DE-588)4031824-2 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-34133-2 Erscheint auch als Druck-Ausgabe 978-0-521-34936-9 https://doi.org/10.1017/CBO9780511565878 Verlag URL des Erstveröffentlichers 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 | Cohen, Daniel E. 1934- Combinatorial group theory a topological approach Combinatorial group theory Topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Topologie (DE-588)4060425-1 gnd Topologische Gruppe (DE-588)4135793-0 gnd Kombinatorik (DE-588)4031824-2 gnd Mathematik (DE-588)4037944-9 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4219556-1 (DE-588)4060425-1 (DE-588)4135793-0 (DE-588)4031824-2 (DE-588)4037944-9 (DE-588)4072157-7 |
| title | Combinatorial group theory a topological approach |
| title_auth | Combinatorial group theory a topological approach |
| title_exact_search | Combinatorial group theory a topological approach |
| title_full | Combinatorial group theory a topological approach Daniel E. Cohen |
| title_fullStr | Combinatorial group theory a topological approach Daniel E. Cohen |
| title_full_unstemmed | Combinatorial group theory a topological approach Daniel E. Cohen |
| title_short | Combinatorial group theory |
| title_sort | combinatorial group theory a topological approach |
| title_sub | a topological approach |
| topic | Combinatorial group theory Topology Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd Topologie (DE-588)4060425-1 gnd Topologische Gruppe (DE-588)4135793-0 gnd Kombinatorik (DE-588)4031824-2 gnd Mathematik (DE-588)4037944-9 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Combinatorial group theory Topology Kombinatorische Gruppentheorie Topologie Topologische Gruppe Kombinatorik Mathematik Gruppentheorie |
| url | https://doi.org/10.1017/CBO9780511565878 |
| work_keys_str_mv | AT cohendaniele combinatorialgrouptheoryatopologicalapproach |