回文子移位和中间增长的简单周期群
Palindromic subshifts and simple periodic groups of intermediate growth
摘要：
本文描述了一类新的Burnside型群，给出了将康托尔集集上的二面体群的任意非自由极小作用转化为无限次生成的周期群的轨道等价作用的过程.我们证明了，如果相关的Schreier图是线性重复的，那么该组是中间增长。特别地，这给出了中间增长的单群的第一个例子。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
