On the oriented Thompson subgroup F→3 and its relatives in higher Brown–Thompson groups

DOI10.1142/S0219498822501390MaRDI QIDQ5089429

Tatiana Nagnibeda, Valeriano Aiello

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04730

zbMATH Keywords

irreducible unitary representationschromatic polynomialThompson groupsJones representationsstabilizer subgroupsoriented linksoriented knotsBrown-Thompson groupsinfinite index maximal subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Geometric group theory (20F65) Unitary representations of locally compact groups (22D10)

Related Items (2)

On the \(3\)-colorable subgroup \(\mathcal{F}\) and maximal subgroups of Thompson's group \(F\) ⋮ An n -adic generalization of the Lodha–Moore group

Cites Work

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• On Jones' subgroup of R. Thompson group \(F\)
• Some unitary representations of Thompson's groups \(F\) and \(T\)
• Introductory notes on Richard Thompson's groups
• The Homflypt polynomial and the oriented Thompson group
• From skein theory to presentations for Thompson group
• On the Alexander theorem for the oriented Thompson group \(\vec F\)
• The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups \(\vec{F}\) and \(\vec{T} \)
• On spectral measures for certain unitary representations of R. Thompson's group F
• Conjugacy and dynamics in Thompson's groups.
• Pythagorean representations of Thompson's groups
• On the construction of knots and links from Thompson's groups
• Schreier graphs of actions of Thompson's group \(F\) on the unit interval and on the Cantor set
• A no-go theorem for the continuum limit of a periodic quantum spin chain
• Graph polynomials and link invariants as positive type functions on Thompson’s group F
• Analogs of principal series representations for Thompson's groups $F$ and $T$
• Jones Representations of Thompson’s GroupFArising from Temperley–Lieb–Jones Algebras
• On subgroups of R. Thompson’s group $F$
• Some graphs related to Thompson's group F
• Finiteness properties of groups

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