Groups, Geometry, and Dynamics

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Volume 8, Issue 3, 2014, pp. 605–620
DOI: 10.4171/GGD/241

Published online: 2014-10-02

Imbeddings into groups of intermediate growth

Laurent Bartholdi[1] and Anna Erschler[2]

(1) Georg-August-Universität Göttingen, Germany
(2) École Normale Supérieure, Paris, France

Every countable group that does not contain a finitely generated subgroup of exponential growth imbeds in a finitely generated group of subexponential word growth.

Keywords: Embedding theorems, intermediate growth, permutational wreath product

Bartholdi Laurent, Erschler Anna: Imbeddings into groups of intermediate growth. Groups Geom. Dyn. 8 (2014), 605-620. doi: 10.4171/GGD/241