Abstract
We define the class of \textit{easily-representable groups} as the class of those finitely presented groups $\Gamma $ admitting an \textit{inverse representation} (which, roughly, is a map from some $2$-complex to a certain singular 3-manifold $M^3 (\Gamma )$ associated to $\Gamma$, satisfying several topological properties) for which the set of double points is closed. Our main result is that easily-representable groups are {\sc qsf} (i.e. quasi-simply filtered).
Citation
Daniele Ettore Otera. Valentin Poénaru. "``Easy" Representations and the {\sc qsf} property for groups." Bull. Belg. Math. Soc. Simon Stevin 19 (3) 385 - 398, september 2012. https://doi.org/10.36045/bbms/1347642372
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