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

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

A well known theorem of Burns and Romanovskii 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.

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Veröffentlicht in:arXiv.org 2021-07
1. Verfasser: Andrew, Naomi
Format: Artikel
Sprache:eng
Schlagworte:
Subgroups
Theorems
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Zusammenfassung:A well known theorem of Burns and Romanovskii 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.
ISSN:2331-8422