R-trees and the Bieri-Neumann-Strebel invariant

Autores: Gilbert Levitt
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 1, 1994, págs. 195-202
Idioma: inglés
DOI: 10.5565/publmat_38194_14
Títulos paralelos:
- Arboles-R y el invariante Bieri-Neumann-Strebel
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Resumen
- Let $G$ be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant $\Sigma (G)$, in terms of geometric abelian actions on ${\bold R}$-trees. We provide a proof of Brown's characterization of $\Sigma (G)$ by exceptional abelian actions of $G$, using geometric methods.