English

The Maximality of $T$ in Thompson's group $V$

Group Theory 2025-04-21 v2

Abstract

We show that R. Thompson's group TT is a maximal subgroup of the group VV. The argument provides examples of foundational calculations which arise when expressing elements of VV as products of transpositions of basic clopen sets in Cantor space C\mathfrak{C}.

Keywords

Cite

@article{arxiv.2409.12621,
  title  = {The Maximality of $T$ in Thompson's group $V$},
  author = {James Belk and Collin Bleak and Martyn Quick and Rachel Skipper},
  journal= {arXiv preprint arXiv:2409.12621},
  year   = {2025}
}

Comments

8 pages. To appear in Archiv der Math