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.

Bibliografski detalji
Glavni autor: Andrew, N
Format: Journal article
Jezik:English
Izdano: Taylor & Francis 2022
Opis
Sažetak: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.