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arXiv · 1304.5320

Growth in product replacement graphs

Anton Malyshev·Igor Pak
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Abstract

We prove the exponential growth of product replacement graphs for a large class of groups. Much of our effort is dedicated to the study of product replacement graphs of Grigorchuk groups, where the problem is most difficult.

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Anton Malyshev, Igor Pak. 2013-04-19. Growth in product replacement graphs. https://arxiv.org/abs/1304.5320

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