We introduce and investigate a rigidity property of rank gradient for an example of a group \( \mathcal{G} \) of intermediate growth constructed by the first author in [R. I. Grigorchuk, Funkts.. Anal. Prilozh., 14 No. 1, 53–54 (1980)]. It is shown that \( \mathcal{G} \) is normally (f, g)-RG rigid, where f(n) = log(n) and g(n) = log(log(n)).
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 2, pp. 165–176, February, 2018.
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Grigorchuk, R., Kravchenko, R. On the Rigidity of Rank Gradient in a Group of Intermediate Growth. Ukr Math J 70, 182–196 (2018). https://doi.org/10.1007/s11253-018-1494-z
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DOI: https://doi.org/10.1007/s11253-018-1494-z