Ampleness in the free group

We show that the theory of the free group -- and more generally the theory of any torsion-free hyperbolic group -- is $n$-ample for any $n\geq 1$. We give also an explicit description of the imaginary algebraic closure in free groups.

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Source https://hal.science/hal-00694506
Author Ould Houcine, Abderezak, Tent, Katrin
Maintainer CCSD
Last Updated May 19, 2026, 21:24 (UTC)
Created May 19, 2026, 21:24 (UTC)
Identifier hal-00694506
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Institut Camille Jordan (ICJ) ; École Centrale de Lyon (ECL) ; Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL) ; Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon) ; Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM) ; Université Jean Monnet (EPSCPE) (UJM EPE)-Université Jean Monnet (EPSCPE) (UJM EPE)-Centre National de la Recherche Scientifique (CNRS)
creator Ould Houcine, Abderezak
date 2012-05-04T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-23T00:00:00
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