The maximality of T in Thompson's group V

J. Belk; C. Bleak; M. Quick; R. Skipper

doi:10.1007/s00013-025-02136-8

The maximality of T in Thompson's group V

J. Belk, C. Bleak, M. Quick^*, R. Skipper

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 ℭ.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Archiv der Mathematik
Volume	125
Issue number	1
Early online date	14 May 2025
DOIs	https://doi.org/10.1007/s00013-025-02136-8
Publication status	Published - 1 Jul 2025

Keywords

Thompson groups
Maximal subgroups
Infinite simple groups

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Belk_2025_AM_Maximality-T-Thompson's-group-V_CC
© 2025 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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1 Preprint

The maximality of T in Thompson's group V
Belk, J., Bleak, C. P., Quick, M. & Skipper, R., 19 Sept 2024, (Submitted) arXiv, 7 p.
Research output: Working paper › Preprint

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title = "The maximality of T in Thompson's group V",

abstract = "We show that R. Thompson{\textquoteright}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 ℭ.",

keywords = "Thompson groups, Maximal subgroups, Infinite simple groups",

author = "J. Belk and C. Bleak and M. Quick and R. Skipper",

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AU - Bleak, C.

AU - Quick, M.

AU - Skipper, R.

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N2 - 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 ℭ.

AB - 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 ℭ.

KW - Thompson groups

KW - Maximal subgroups

KW - Infinite simple groups

U2 - 10.1007/s00013-025-02136-8

DO - 10.1007/s00013-025-02136-8

M3 - Article

SN - 0003-889X

VL - 125

SP - 1

EP - 7

JO - Archiv der Mathematik

JF - Archiv der Mathematik

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The maximality of T in Thompson's group V

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The maximality of T in Thompson's group V

Cite this