A structural property concerning abstract commensurability of subgroups
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is sol...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1797096160033243136 |
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| author | Grigorchuk, R Wilson, J |
| author_facet | Grigorchuk, R Wilson, J |
| author_sort | Grigorchuk, R |
| collection | OXFORD |
| description | Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is soluble. |
| first_indexed | 2024-03-07T04:38:06Z |
| format | Journal article |
| id | oxford-uuid:d0abae40-2fdb-4297-9145-1680a43e3324 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:38:06Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:d0abae40-2fdb-4297-9145-1680a43e33242022-03-27T07:51:38ZA structural property concerning abstract commensurability of subgroupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d0abae40-2fdb-4297-9145-1680a43e3324EnglishSymplectic Elements at Oxford2003Grigorchuk, RWilson, JFurther properties of a group Γ introduced by the first author in 1980 (sometimes called the first Grigorchuk group) are established. These are notably that any two infinite finitely generated subgroups of Γ have isomorphic subgroups of finite index and that the generalized word problem for Γ is soluble. |
| spellingShingle | Grigorchuk, R Wilson, J A structural property concerning abstract commensurability of subgroups |
| title | A structural property concerning abstract commensurability of subgroups |
| title_full | A structural property concerning abstract commensurability of subgroups |
| title_fullStr | A structural property concerning abstract commensurability of subgroups |
| title_full_unstemmed | A structural property concerning abstract commensurability of subgroups |
| title_short | A structural property concerning abstract commensurability of subgroups |
| title_sort | structural property concerning abstract commensurability of subgroups |
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