English

On some generating set of Thompson's group $F$

Group Theory 2023-05-16 v2

Abstract

We prove that Thompson's group FF has a generating set with two elements such that every two powers of them generate a finite index subgroup of FF.

Keywords

Cite

@article{arxiv.2210.16876,
  title  = {On some generating set of Thompson's group $F$},
  author = {Gili Golan and Mark Sapir},
  journal= {arXiv preprint arXiv:2210.16876},
  year   = {2023}
}

Comments

13 pages, 2 figures. v2: The proof of the main theorem was simplified following referee's suggestion. arXiv admin note: text overlap with arXiv:2209.03244. text overlap with arXiv:2210.03564