129 citations · 401 across the 50 of their papers we have counts for
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math.GR1999★ 16 cited
On Parabolic Subgroups and Hecke Algebras of Some Fractal Groups
Laurent Bartholdi, Rostislav I. Grigorchuk
We study the subgroup structure, Hecke algebras, quasi-regular representations, and asymptotic properties of some fractal groups of branch type. We introduce parabolic subgroups, s…
math.GR1999★ 129 cited
On the Spectrum of Hecke Type Operators related to some Fractal Groups
Laurent Bartholdi, Rostislav I. Grigorchuk
We give the first example of a connected 4-regular graph whose Laplace operator's spectrum is a Cantor set, as well as several other computations of spectra following a common ``fi…