An amalgamation property for metric groups

• Дата: 2022
• Автори: Popowicz, J., Ivanov, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2022
• Теми: amalgamations over central subgroups; metric groups; 20E22; 54A05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1557
• Назва журналу: Algebra and Discrete Mathematics

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.