Growth of groups with linear Schreier graphs

preprint2022arXivOpen access

We introduce a new method of proving upper estimates of growth of finitely generated groups and constructing groups of intermediate growth using graphs of their actions. These estimates are of the form $\exp(n^α)$ for some $α<1$ , and provide the first examples of such bounds for simple groups of intermediate growth.

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Growth of groups with linear Schreier graphs

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