The maximality of T in Thompson’s group V
Abstract We show that R. Thompson’s group T is a maximal subgroup of the group V . The argument provides examples of foundational calculations which arise when expressing elements of V as products of transpositions of basic clopen sets in the Cantor space $$\mathfrak {C}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>C</mml:mi> </mml:math> .
Authors
- Rachel Skipper (ORCID: https://orcid.org/0000-0002-3978-627X)
- Collin Bleak (ORCID: https://orcid.org/0000-0001-5790-1940)
- James Belk (ORCID: https://orcid.org/0000-0002-9392-3378)
- Martyn Quick (ORCID: https://orcid.org/0000-0002-5227-2994)
Institutions
- University of St Andrews (GB)
- University of Utah (US)
- University of Glasgow (GB)
Publication Details
- Journal
- Archiv der Mathematik
- Published
- 2025-05-14
- DOI
- https://doi.org/10.1007/s00013-025-02136-8
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation