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.

Bibliografische gegevens
Hoofdauteur: Andrew, N
Formaat: Journal article
Taal:English
Gepubliceerd in: Taylor & Francis 2022
Omschrijving
Samenvatting: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.