Palindromic subshifts and simple periodic groups of intermediate growth
Palindromic subshifts and simple periodic groups of intermediate growth
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DOI：
10.4007/annals.2018.187.3.2
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发表时间：
2016-01
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通讯作者：
V. Nekrashevych
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作者：
V. Nekrashevych
描述了一类新的伯恩赛德型群，给出了将二面体群在Cantor集上的任意非自由极小作用转化为无限次生成周期群的轨道等价作用的方法.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简单群的第一个例子。
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.