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.

中文翻译：

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剩余有限管组

管状组G是具有 ℤ 的群的有限图2顶点组和ℤ边组。我们表征剩余有限的管状群：G是剩余有限的当且仅当它的边群是可分的。提供方法来确定是否G是剩余有限的。什么时候G具有单个顶点组，给出了确定剩余有限性的算法。