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)
Cited by in corpus (16)
- L-presentations and branch groups
- Varieties
- Maximal subgroups of groups of intermediate growth
- Groups of given intermediate word growth
- On the growth of iterated monodromy groups
- Hausdorff dimension of some groups acting on the binary tree
- Behaviors of entropy on finitely generated groups
- On spectra and spectral measures of Schreier and Cayley graphs
- Groups of intermediate growth
- Finite self-similar p-groups with abelian first level stabilizers
- Conjugacy Growth and Conjugacy Width of Certain Branch Groups
- Schreier graphs of spinal groups
- 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