Limits of Thompson's group F
Roland Zarzycki
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.
Create a lesson
Related papers
The variety generated by all additively idempotent semirings of order four
Mengya Yue, Xiaolei Shao
Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
Jiaping Lu
Kernel--wreath constructions and infinite families of finite simple skew braces
Marco Damele
Explicit equational bases for the power semirings of S7
Mengya Yue, Miaomiao Ren, Zidong Gao
The free multiplicative Lie algebra L(P) for a finitely generated parafree group P
Dessislava H. Kochloukova
An order automorphism of a Dlab group not induced by conjugation
Ting Gong, Yong Yang, Michael Ruofan Zeng