A minimal Cantor set in the space of 3-generated groups |
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| Authors: | Volodymyr Nekrashevych |
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| Institution: | (1) Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA |
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| Abstract: | We construct and study a family of 3-generated groups  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.
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| Keywords: | Space of groups Self-Similar groups Iterated monodromy groups |
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