Limits of Thompson's group F

2007/01/22 by Roland Zarzycki, Zarzycki, Roland · 1 citation
Computer Science · Mathematics · #20E18 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #msc:20E18 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0701601

11 pages

openalex publication_date 2007/01/22 · arxiv created 2010/03/07 · arxiv updated 2010/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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