140 citations · 1.3k across the 89 of their papers we have counts for
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math.GR2008★ 5 cited
Representation zeta functions of wreath products with finite groups
Laurent Bartholdi, Pierre de la Harpe
Let G be a group which has for all n a finite number r_n(G) of irreducible complex linear representations of dimension n. Let be its re…
math.GR2008★ 42 cited
On amenability of automata groups
Laurent Bartholdi, Vadim A. Kaimanovich, Volodymyr V. Nekrashevych
We show that the group of bounded automatic automorphisms of a rooted tree is amenable, which implies amenability of numerous classes of groups generated by finite automata. The pr…