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Documents  Nekrashevych, Volodymyr | enregistrements trouvés : 2

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Research talks

We will show how minimal dynamical systems and etale groupoids can be used to construct finitely generated simple groups with prescribed properties. For example, one can show that there are uncountably many different growth types (in particular quasi-isometry classes) among finitely generated simple groups, or embed the Grigorchuk group into a simple torsion group of intermediate growth. Other properties like torsion and amenability will be also discussed. We will show how minimal dynamical systems and etale groupoids can be used to construct finitely generated simple groups with prescribed properties. For example, one can show that there are uncountably many different growth types (in particular quasi-isometry classes) among finitely generated simple groups, or embed the Grigorchuk group into a simple torsion group of intermediate growth. Other properties like torsion and amenability will be also ...

22A22 ; 37B05 ; 20E32 ; 20L05

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- 231 p.
ISBN 978-0-8218-3831-0

Mathematical surveys and monographs , 0117

Localisation : Collection 1er étage

théorie géométrique des groupes # dynamique # symbolique # processus autosimilaire # combinatoire et topologie # groupe de monodromie # groupe agissant sur des arbres # groupes topologique

20F65 ; 37B10 ; 37F20 ; 37F15 ; 20E08 ; 22A22

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