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.

ग्रंथसूची विवरण
मुख्य लेखक: Andrew, N
स्वरूप: Journal article
भाषा:English
प्रकाशित: Taylor & Francis 2022
विवरण
सारांश: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.