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math.GRMay 14, 2000
44
citations (OpenAlex)
authors
  • Laurent Bartholdi
  • Zoran Sunik
institutions
  • Binghamton University
  • University of Geneva
arXiv abstractPDF
paper

On the Word and Period Growth of some Groups of Tree Automorphisms

arXiv:math/0005113 · doi:10.1081/AGB-100106794

Abstract

We generalize a class of groups defined by Rostislav Grigorchuk to a much larger class of groups, and provide upper and lower bounds for their word growth (they are all of intermediate growth) and period growth (under a small additional condition, they are periodic).

to appear in Comm. Algebra

References in corpus (1)

  • On the Spectrum of Hecke Type Operators related to some Fractal Groups

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  • Simple Toeplitz subshifts: combinatorial properties and uniformity of cocycles
  • Finitely constrained groups of maximal Hausdorff dimension
  • On torsion images of Coxeter groups and question of Wiegold
  • Numerical upper bounds on growth of automata groups
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