paper

Imbeddings into groups of intermediate growth

arXiv:1403.5584 · doi:10.4171/GGD/241

Abstract

Every countable group that does not contain a finitely generated subgroup of exponential growth imbeds in a finitely generated group of subexponential growth. This produces in particular the first examples of groups of subexponential growth containing the additive group of the rationals.

Compared to v1, some typos corrected, and the part on distortion split off to arXiv:1406.5908

Imbeddings into groups of intermediate growth · wovepaper