Toeplitz subshift whose automorphism group is not finitely generated

Toeplitz subshift whose automorphism group is not finitely generated
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自同构群不是有限生成的托普利茨子移

DOI:
10.4064/cm6463-2-2016
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发表时间:
2014
期刊:
arXiv: Dynamical Systems
影响因子:
--
通讯作者:
Ville Salo
Ville Salo
中科院分区:
--
文献类型:
--
作者:
Ville Salo

文献摘要

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我们计算了(拓扑)自同构群或特定Toeplitz子移位的显式表示。自同构群是有理数的加法(非有限生成)子群,移位映射对应于有理数1。群是由5/2的幂生成的有理数的加法子群。
We compute an explicit representation of the (topological) automorphism group or a particular Toeplitz subshift. The automorphism group is a (non-finitely generated) subgroup of rational numbers under addition and the shift map corresponds to the rational number 1. The group is the additive subgroup of the rational numbers generated by the powers of 5/2.