Imbeddings into groups of intermediate growth
classification
🧮 math.GR
math.FA
keywords
growthgroupfinitelygeneratedgroupssubexponentialadditivecontain
read the original 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.
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