Palindromic subshifts and simple periodic groups of intermediate growth Academic Article

abstract

• 2018 Department of Mathematics, Princeton University. We describe a new class of groups of Burnside type, by 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• ANNALS OF MATHEMATICS

author list (cited authors)

• Nekrashevych, V.

citation count

• 25

complete list of authors

• Nekrashevych, Volodymyr

publication date

• January 2018

publisher

• Annals of Mathematics  Publisher

published in

• Annals of Mathematics  Journal

keywords

• Burnside Groups
• Groups Of Intermediate Growth
• Minimal Subshifts
• Simple Groups
• Topological Full Groups
• Torsion Groups

Digital Object Identifier (DOI)

• 10.4007/annals.2018.187.3.2

start page

• 667

end page

• 719

volume

• 187

issue

• 3

URL

• http://dx.doi.org/10.4007/annals.2018.187.3.2