An amalgamation property for metric groups
In this paper we show that under some mild assumptions two copies of a metric group can be freely amalgamated over any central subgroup so that the distance between them is sufficiently small.
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| Date: | 2022 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2022
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543029939142656 |
|---|---|
| author | Popowicz, J. Ivanov, A. |
| author_facet | Popowicz, J. Ivanov, A. |
| author_sort | Popowicz, J. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2022-06-15T04:49:44Z |
| description | In this paper we show that under some mild assumptions two copies of a metric group can be freely amalgamated over any central subgroup so that the distance between them is sufficiently small. |
| first_indexed | 2025-12-02T15:39:01Z |
| format | Article |
| id | admjournalluguniveduua-article-1557 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:39:01Z |
| publishDate | 2022 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-15572022-06-15T04:49:44Z An amalgamation property for metric groups Popowicz, J. Ivanov, A. amalgamations over central subgroups, metric groups 20E22, 54A05 In this paper we show that under some mild assumptions two copies of a metric group can be freely amalgamated over any central subgroup so that the distance between them is sufficiently small. Lugansk National Taras Shevchenko University 2022-06-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557 10.12958/adm1557 Algebra and Discrete Mathematics; Vol 33, No 1 (2022) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557/pdf Copyright (c) 2022 Algebra and Discrete Mathematics |
| spellingShingle | amalgamations over central subgroups metric groups 20E22 54A05 Popowicz, J. Ivanov, A. An amalgamation property for metric groups |
| title | An amalgamation property for metric groups |
| title_full | An amalgamation property for metric groups |
| title_fullStr | An amalgamation property for metric groups |
| title_full_unstemmed | An amalgamation property for metric groups |
| title_short | An amalgamation property for metric groups |
| title_sort | amalgamation property for metric groups |
| topic | amalgamations over central subgroups metric groups 20E22 54A05 |
| topic_facet | amalgamations over central subgroups metric groups 20E22 54A05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557 |
| work_keys_str_mv | AT popowiczj anamalgamationpropertyformetricgroups AT ivanova anamalgamationpropertyformetricgroups AT popowiczj amalgamationpropertyformetricgroups AT ivanova amalgamationpropertyformetricgroups |