Growth of groups with linear Schreier graphs

2022/05/03 by Laurent Bartholdi, Volodymyr Nekrashevych, Bartholdi, Laurent +3
Computer Science · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2205.01792

openalex publication_date 2022/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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