Cartesian products as profinite completions
We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions.
| প্রধান লেখক: | , |
|---|---|
| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
2006
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| _version_ | 1826274834936496128 |
|---|---|
| author | Kassabov, M Nikolov, N |
| author_facet | Kassabov, M Nikolov, N |
| author_sort | Kassabov, M |
| collection | OXFORD |
| description | We prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions. |
| first_indexed | 2024-03-06T22:49:28Z |
| format | Journal article |
| id | oxford-uuid:5e4edb01-deee-4da7-a6fc-ccf0a76a04a7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:49:28Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:5e4edb01-deee-4da7-a6fc-ccf0a76a04a72022-03-26T17:39:52ZCartesian products as profinite completionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5e4edb01-deee-4da7-a6fc-ccf0a76a04a7EnglishSymplectic Elements at Oxford2006Kassabov, MNikolov, NWe prove that if a Cartesian product of alternating groups is topologically finitely generated, then it is the profinite completion of a finitely generated residually finite group. The same holds for Cartesian producs of other simple groups under some natural restrictions. |
| spellingShingle | Kassabov, M Nikolov, N Cartesian products as profinite completions |
| title | Cartesian products as profinite completions |
| title_full | Cartesian products as profinite completions |
| title_fullStr | Cartesian products as profinite completions |
| title_full_unstemmed | Cartesian products as profinite completions |
| title_short | Cartesian products as profinite completions |
| title_sort | cartesian products as profinite completions |
| work_keys_str_mv | AT kassabovm cartesianproductsasprofinitecompletions AT nikolovn cartesianproductsasprofinitecompletions |