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arxiv: 1304.5320 · v2 · pith:EPODYQ76new · submitted 2013-04-19 · 🧮 math.GR · math.CO

Growth in product replacement graphs

classification 🧮 math.GR math.CO
keywords graphsproductreplacementgroupsgrowthclassdedicateddifficult
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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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