Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems
This is the first paper of three papers in a row aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we prove a particular free product structure, which is termed the Cohen-Lyndon property, of Dehn filling kernels. As an application, we describe the structure of relati...
| Egile nagusia: | |
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| Formatua: | Journal article |
| Hizkuntza: | English |
| Argitaratua: |
Elsevier
2019
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| _version_ | 1826295490419884032 |
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| author | Sun, B |
| author_facet | Sun, B |
| author_sort | Sun, B |
| collection | OXFORD |
| description | This is the first paper of three papers in a row aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we prove a particular free product structure, which is termed the Cohen-Lyndon property, of Dehn filling kernels. As an application, we describe the structure of relative relation modules of Dehn fillings. |
| first_indexed | 2024-03-07T04:01:50Z |
| format | Journal article |
| id | oxford-uuid:c4d43f66-dddb-4a88-8f8c-8c5cbe6fb30b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:01:50Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:c4d43f66-dddb-4a88-8f8c-8c5cbe6fb30b2022-03-27T06:26:33ZCohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theoremsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c4d43f66-dddb-4a88-8f8c-8c5cbe6fb30bEnglishSymplectic ElementsElsevier2019Sun, BThis is the first paper of three papers in a row aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we prove a particular free product structure, which is termed the Cohen-Lyndon property, of Dehn filling kernels. As an application, we describe the structure of relative relation modules of Dehn fillings. |
| spellingShingle | Sun, B Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title | Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title_full | Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title_fullStr | Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title_full_unstemmed | Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title_short | Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems |
| title_sort | cohomology of group theoretic dehn fillings i cohen lyndon type theorems |
| work_keys_str_mv | AT sunb cohomologyofgrouptheoreticdehnfillingsicohenlyndontypetheorems |