On profinite groups with positive rank gradient
We prove that a profinite group GG with positive rank gradient does not satisfy a group law. In the case when GG is a pro-pp group, we show that GG contains a nonabelian dense free subgroup.
| Main Author: | |
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| Format: | Journal article |
| Language: | English |
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EMS Press
2022
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| _version_ | 1797110723289022464 |
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| author | Nikolov, N |
| author_facet | Nikolov, N |
| author_sort | Nikolov, N |
| collection | OXFORD |
| description | We prove that a profinite group GG with positive rank gradient does not satisfy a group law. In the case when GG is a pro-pp group, we show that GG contains a nonabelian dense free subgroup. |
| first_indexed | 2024-03-07T07:58:50Z |
| format | Journal article |
| id | oxford-uuid:4efdea66-da56-43bd-bb4c-c1580e755cfc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:58:50Z |
| publishDate | 2022 |
| publisher | EMS Press |
| record_format | dspace |
| spelling | oxford-uuid:4efdea66-da56-43bd-bb4c-c1580e755cfc2023-09-15T10:08:12ZOn profinite groups with positive rank gradientJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4efdea66-da56-43bd-bb4c-c1580e755cfcEnglishSymplectic Elements EMS Press2022Nikolov, NWe prove that a profinite group GG with positive rank gradient does not satisfy a group law. In the case when GG is a pro-pp group, we show that GG contains a nonabelian dense free subgroup. |
| spellingShingle | Nikolov, N On profinite groups with positive rank gradient |
| title | On profinite groups with positive rank gradient |
| title_full | On profinite groups with positive rank gradient |
| title_fullStr | On profinite groups with positive rank gradient |
| title_full_unstemmed | On profinite groups with positive rank gradient |
| title_short | On profinite groups with positive rank gradient |
| title_sort | on profinite groups with positive rank gradient |
| work_keys_str_mv | AT nikolovn onprofinitegroupswithpositiverankgradient |