The Grigorchuk group is finitely generated and has subexponential non-polynomial growth but I'm not aware of a finite presentation. Does a finite presentation imply that the group is polynomial or exponential as well?
2026-03-25 06:12:49.1774419169
Is there a known example of a finitely presented group with subexponential growth that isn't polynomial?
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There are no known examples of such groups. Grigorchuk group is infinitely presented and so are all other known infinite finitely generated groups of intermediate growth (there are many examples: Gupta-Sidki, Erschler, and others).