On Degrees of Growth of Finitely Generated Groups
- Cite this article as:
- Erschler, A.G. Funct Anal Its Appl (2005) 39: 317. doi:10.1007/s10688-005-0055-z
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We prove that for an arbitrary function ρ of subexponential growth there exists a group G of intermediate growth whose growth function satisfies the inequality vG,S(n) ⩾ ρ(n) for all n. For every prime p, one can take G to be a p-group; one can also take a torsion-free group G. We also discuss some generalizations of this assertion.