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.

Збережено в:
Бібліографічні деталі
Дата:2022
Автори: Popowicz, J., Ivanov, A.
Формат: Стаття
Мова:Англійська
Опубліковано: Lugansk National Taras Shevchenko University 2022
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557
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Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
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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.
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institution Algebra and Discrete Mathematics
language English
last_indexed 2025-12-02T15:39:01Z
publishDate 2022
publisher Lugansk National Taras Shevchenko University
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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