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Residually finite tubular groups

Abstract:
A tubular group G is a finite graph of groups with ℤ2 vertex groups and ℤ edge groups. We characterize residually finite tubular groups: G is residually finite if and only if its edge groups are separable. Methods are provided to determine if G is residually finite. When G has a single vertex group an algorithm is given to determine residual finiteness.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/prm.2019.52

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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
BK MATHEMATICAL INSTITUTE; D4 MPLS DIVISIONAL OFFICE
Role:
Author
Publisher:
Cambridge University Press Publisher's website
Journal:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics Journal website
Publication date:
2019-08-27
DOI:
EISSN:
1473-7124
ISSN:
0308-2105
Language:
English
Keywords:
Pubs id:
1140153
Local pid:
pubs:1140153
Deposit date:
2020-11-05

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