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math.GR2015
Relations between counting functions on free groups and free monoids
Tobias Hartnick, Alexey Talambutsa
We consider finite sums of counting functions on the free group and the free monoid for . Two such sums are considered equivalent if they differ by a bounded…
math.GR2015
Minimal exponential growth rates of metabelian Baumslag-Solitar groups and lamplighter groups
Michelle Bucher, Alexey Talambutsa
We prove that for any prime the minimal exponential growth rate of the Baumslag-Solitar group and the lamplighter group $\mathcal{L}_p=(\mathbb{Z}/p\mathbb{Z})\…