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tubular groups

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Residually finite tubular groups
Part of
- Structure and classification of infinite or finite groups
Nima Hoda, Daniel T. Wise, Daniel J. Woodhouse
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 150 / Issue 6 / December 2020

Published online by Cambridge University Press:

27 August 2019, pp. 2937-2951

Print publication:

December 2020
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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.