Residually finite tubular groups

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...

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Detalles Bibliográficos
Autores principales: Hoda, N, Wise, DT, Woodhouse, DJ
Formato: Journal article
Lenguaje:English
Publicado: Cambridge University Press 2019
Descripción
Sumario: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.