A minimal Cantor set in the space of 3-generated groups
A minimal Cantor set in the space of 3-generated groups
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3 生成群空间中的最小康托集
DOI：
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发表时间：
2007
期刊：
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通讯作者：
V. Nekrashevych
中科院分区：
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作者：
V. Nekrashevych
我们构造并研究了一个由无限二值序列w参数化的3-生成群族$$mathcal{D}_w$$。我们证明了当且仅当这两个群是共终的，且这两个群不能被有限的关系集区分。我们展示了家族与二维全纯动力学的联系。
We construct and study a family of 3-generated groups $$mathcal{D}_w$$ parametrized by infinite binary sequences w. We show that two groups of the family are isomorphic if and only if the sequences are cofinal and that two groups cannot be distinguished by finite sets of relations. We show a connection of the family with 2-dimensional holomorphic dynamics.