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september 2012 ``Easy" Representations and the {\sc qsf} property for groups
Daniele Ettore Otera, Valentin Poénaru
Bull. Belg. Math. Soc. Simon Stevin 19(3): 385-398 (september 2012). DOI: 10.36045/bbms/1347642372

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).

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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

Information

Published: september 2012
First available in Project Euclid: 14 September 2012

zbMATH: 1277.57005
MathSciNet: MR3027350
Digital Object Identifier: 10.36045/bbms/1347642372

Subjects:
Primary: 57 M 05 , 57 M 10 , 57 N 35

Keywords: discrete groups , geometric simple connectivity , inverse representations, singularities , quasi-simple filtration ({\sc qsf})

Rights: Copyright © 2012 The Belgian Mathematical Society

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Vol.19 • No. 3 • september 2012
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