Andrew, Naomi (2022) A Bass–Serre theoretic proof of a theorem of Romanovskii and Burns. Communications in Algebra. (doi:10.1080/00927872.2022.2149764).
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Abstract
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.
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A Bass Serre theoretic proof of a theorem of Romanovskii and Burns
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Accepted/In Press date: 5 September 2022
e-pub ahead of print date: 8 December 2022
Keywords:
Bass–Serre theory, subgroup separability
Identifiers
Local EPrints ID: 475318
URI: http://eprints.soton.ac.uk/id/eprint/475318
ISSN: 0092-7872
PURE UUID: c7ec59d3-408f-4a38-a467-2266dda935ad
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Date deposited: 15 Mar 2023 17:38
Last modified: 17 Mar 2024 00:45
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Author:
Naomi Andrew
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