A Bass-Serre theoretic proof of a theorem of Romanovskii and Burns

A well known theorem of Romanovskii and Burns states that a free product of subgroup separable groups is itself subgroup separable. We provide a proof using the language of immersions and coverings of graphs of groups, due to Bass.

التفاصيل البيبلوغرافية
المؤلف الرئيسي: Andrew, N
التنسيق: Journal article
اللغة:English
منشور في: Taylor & Francis 2022
الوصف
الملخص:A well known theorem of Romanovskii and Burns states that a free product of subgroup separable groups is itself subgroup separable. We provide a proof using the language of immersions and coverings of graphs of groups, due to Bass.