Fink, 2014 - Google Patents

A finitely generated branch group of exponential growth without free subgroups

Fink, 2014

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Document ID
9277257962230721469
Author
Fink E
Publication year
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Journal of Algebra

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We will give an example of a branch group G that has exponential growth but does not contain any non-abelian free subgroups. This answers question 16 from Bartholdi et al.(2003)[1] positively. The proof demonstrates how to construct a non-trivial word wa, b (x, y) …
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