A group of non-uniform exponential growth locally isomorphic to 𝐼𝑀𝐺(𝑧²+𝑖)

Nekrashevych, Volodymyr

doi:10.1090/S0002-9947-09-04825-9

A group of non-uniform exponential growth locally isomorphic to $IMG(z^2+i)$
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by Volodymyr Nekrashevych

Trans. Amer. Math. Soc. 362 (2010), 389-398

DOI: https://doi.org/10.1090/S0002-9947-09-04825-9

Published electronically: July 17, 2009

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Abstract:

We prove that a sequence of marked three-generated groups isomorphic to the iterated monodromy group of $z^2+i$ converges to a group of non-uniform exponential growth, which is an extension of the infinite direct sum of cyclic groups of order 4 by a Grigorchuk group.

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