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Growth Functions of Fr-sets

Lomond, Jonny — 2012

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 05C30, 20E08, 20F65. In this paper we consider an open problem from [1], regarding the description of the growth functions of the free group acts. Using the language of graphs, we solve this problem by providing the necessary and sufficient conditions for a function to be a growth function for a free group act.

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