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6.5 (1978)

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Is it the case that every soluble group $G$ of type $(FP)_\infty$ (see 6.3) is constructible in the sense of (G. Baumslag, R. Bieri, Math. Z., 151, no. 3 (1976), 249–257)? In other words, can $G$ be built up from the trivial group in terms of finite extensions and $HNN$-extensions?

Contributor: R. Bieri

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