Ubiquity of free subgroups
Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It is deduced that the existence of one free subgroup of a Polish group can lead to the existence of many free subgroups of maximal rank. Applications are given to permutation groups, profinit...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1826263685474025472 |
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| author | Gartside, P Knight, R |
| author_facet | Gartside, P Knight, R |
| author_sort | Gartside, P |
| collection | OXFORD |
| description | Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It is deduced that the existence of one free subgroup of a Polish group can lead to the existence of many free subgroups of maximal rank. Applications are given to permutation groups, profinite groups, Lie groups and unitary groups. |
| first_indexed | 2024-03-06T19:55:45Z |
| format | Journal article |
| id | oxford-uuid:25851f66-e185-4f92-9952-d2b6ee81462b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:55:45Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:25851f66-e185-4f92-9952-d2b6ee81462b2022-03-26T11:56:08ZUbiquity of free subgroupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:25851f66-e185-4f92-9952-d2b6ee81462bEnglishSymplectic Elements at Oxford2003Gartside, PKnight, RNecessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It is deduced that the existence of one free subgroup of a Polish group can lead to the existence of many free subgroups of maximal rank. Applications are given to permutation groups, profinite groups, Lie groups and unitary groups. |
| spellingShingle | Gartside, P Knight, R Ubiquity of free subgroups |
| title | Ubiquity of free subgroups |
| title_full | Ubiquity of free subgroups |
| title_fullStr | Ubiquity of free subgroups |
| title_full_unstemmed | Ubiquity of free subgroups |
| title_short | Ubiquity of free subgroups |
| title_sort | ubiquity of free subgroups |
| work_keys_str_mv | AT gartsidep ubiquityoffreesubgroups AT knightr ubiquityoffreesubgroups |