Normalisers in Limit Groups
Let $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$. If $H_1(S,\mathbb Q)$ has finite $\Q$-dimension, then $S$ is finitely generated and either $N/S$ is finite or $N$ is abelian. This result has applications to the study of subdirect products of limit groups.
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Journal article |
| اللغة: | English |
| منشور في: |
2005
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| _version_ | 1826301867719655424 |
|---|---|
| author | Bridson, M Howie, J |
| author_facet | Bridson, M Howie, J |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | Let $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$. If $H_1(S,\mathbb Q)$ has finite $\Q$-dimension, then $S$ is finitely generated and either $N/S$ is finite or $N$ is abelian. This result has applications to the study of subdirect products of limit groups. |
| first_indexed | 2024-03-07T05:38:53Z |
| format | Journal article |
| id | oxford-uuid:e4e4490d-5c67-4469-a556-86b49a0fa779 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T05:38:53Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:e4e4490d-5c67-4469-a556-86b49a0fa7792022-03-27T10:19:43ZNormalisers in Limit GroupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4e4490d-5c67-4469-a556-86b49a0fa779EnglishSymplectic Elements at Oxford2005Bridson, MHowie, JLet $\G$ be a limit group, $S\subset\G$ a subgroup, and $N$ the normaliser of $S$. If $H_1(S,\mathbb Q)$ has finite $\Q$-dimension, then $S$ is finitely generated and either $N/S$ is finite or $N$ is abelian. This result has applications to the study of subdirect products of limit groups. |
| spellingShingle | Bridson, M Howie, J Normalisers in Limit Groups |
| title | Normalisers in Limit Groups |
| title_full | Normalisers in Limit Groups |
| title_fullStr | Normalisers in Limit Groups |
| title_full_unstemmed | Normalisers in Limit Groups |
| title_short | Normalisers in Limit Groups |
| title_sort | normalisers in limit groups |
| work_keys_str_mv | AT bridsonm normalisersinlimitgroups AT howiej normalisersinlimitgroups |