A. Kolpakov

activity

20122024

most citedOn the optimality of the ideal right-angled 24-cell

11 citations · 15 across the 7 of their papers we have counts for

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math.GR2019

Growth rates of Coxeter groups and Perron numbers

Alexander Kolpakov, Alexey Talambutsa

We define a large class of abstract Coxeter groups, that we call $\infty$ --spanned, and for which the word growth rate and the geodesic growth rate appear to be Perron numbers. Thi…

math.GR2018

Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers

Alexander Kolpakov, Alexey Talambutsa

We prove that for any infinite right-angled Coxeter or Artin group, its spherical and geodesic growth rates (with respect to the standard generating set) either take values in the…