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Limits of Thompson's group F

Roland Zarzycki
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Abstract

Let F be the Thompson's group. We study the structure of F-limit groups. Consider a sequence of groups marked by three elements, each isomorphic to F. Assume that the this sequence is convergent in the space of marked groups. We prove that no HNN-extension of F over a cyclic subgroup occurs as an F-limit group of such a sequence.

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Roland Zarzycki. 2010-03-07. Limits of Thompson's group F. https://arxiv.org/abs/math/0701601

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