Limits of Thompson's group F
Group Theory
2010-03-09 v2
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.
Keywords
Cite
@article{arxiv.math/0701601,
title = {Limits of Thompson's group F},
author = {Roland Zarzycki},
journal= {arXiv preprint arXiv:math/0701601},
year = {2010}
}
Comments
11 pages