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.

Bibliografiset tiedot
Päätekijä: Andrew, N
Aineistotyyppi: Journal article
Kieli:English
Julkaistu: Taylor & Francis 2022
Kuvaus
Yhteenveto: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.