The maximality of T in Thompson's group V

James Belk; Collin Patrick Bleak; Martyn Quick; Rachel Skipper

The maximality of T in Thompson's group V

James Belk, Collin Patrick Bleak, Martyn Quick, Rachel Skipper

Research output: Working paper › Preprint

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 Cantor space ℭ.

Original language	English
Publisher	arXiv
Number of pages	7
Publication status	Submitted - 19 Sept 2024

Keywords

Thompson groups
maximal subgroups
infinite simple groups

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https://arxiv.org/abs/2409.12621Licence: CC BY

The maximality of T in Thompson's group V
Belk, J., Bleak, C., Quick, M. & Skipper, R., 1 Jul 2025, In: Archiv der Mathematik. 125, 1, p. 1-7 7 p.
Research output: Contribution to journal › Article › peer-review

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title = "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 Cantor space ℭ.",

keywords = "Thompson groups, maximal subgroups, infinite simple groups",

author = "James Belk and Bleak, \{Collin Patrick\} and Martyn Quick and Rachel Skipper",

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AU - Bleak, Collin Patrick

AU - Quick, Martyn

AU - Skipper, Rachel

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Y1 - 2024/9/19

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 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 Cantor space ℭ.

KW - Thompson groups

KW - maximal subgroups

KW - infinite simple groups

M3 - Preprint

BT - The maximality of T in Thompson's group V

PB - arXiv

ER -

The maximality of T in Thompson's group V

Abstract

Keywords

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Research output

The maximality of T in Thompson's group V

Cite this