Palindromic subshifts and simple periodic groups of intermediate growth
By Volodymyr V. Nekrashevych. 2016
96 citations recorded by the source corpus.
We describe a new class of groups of Burnside type, giving a procedure transforming an arbitrary non-free minimal action of the dihedral group on a Cantor set into an orbit-equivalent action of an infinite finitely generated periodic group. We show that if the associated Schreier graphs are linearly repetitive, then the group is of intermediate growth. In particular, this gives first examples of simple groups of intermediate growth.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/3c54ae5463a44cf3e5d3553be6443412aa773654
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In Computational Theory and Mathematics
In Geometry and Topology
- Colin D. Reid
- George A. Willis
- P. Caprace
- Denis V. Osin
- Daan Krammer
- Anthony Genevois
- K. Fujiwara
- Michah Sageev
Citations in the corpus
- LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS (2014, background): “By the recent groundbreaking work of Juschenko and Monod [32] and its extension due to Nekrashevych [45], there exist finitely generated infinite simple amenable groups, so the hypothesis in Question 3 that G be nondiscrete is important.”