Limits of Thompson's group F

Details Limits of Thompson's group F Limits of Thompson's group F

2007-01-22

arxiv.org/abs/math/0701601v2

Mathematics

Group Theory

11 pages

Scientific paper

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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