arXiv:math/0701601 Abstract

arXiv:math/0701601 [math.GR]Abstract References Reviews Resources

Limits of Thompson's group F

Published 2007-01-22, updated 2010-03-07Version 2

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.

Comments: 11 pages

Categories: math.GR

Subjects: 20E18

Keywords: thompsons group, f-limit group, cyclic subgroup occurs, marked groups, hnn-extension

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