On a family of representations of the Higman–Thompson groups
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André Guimarães
Abstract
We obtain an uncountable family of inequivalent and irreducible representations of the Higman–Thompson groups
Funding source: Fundação para a Ciência e a Tecnologia
Award Identifier / Grant number: UIDB/04459/2020
Award Identifier / Grant number: UIDP/04459/2020
Funding statement: The first author would like to thank the Calouste Gulbenkian Foundation for funding this work. The second author was partially supported by FCT/Portugal through CAMGSD, IST-ID, projects UIDB/04459/2020 and UIDP/04459/2020.
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Communicated by: Adrian Ioana
References
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Articles in the same Issue
- Frontmatter
- On a family of representations of the Higman–Thompson groups
- Automatic continuity for groups whose torsion subgroups are small
- Property 𝑅∞ for some spherical and affine Artin–Tits groups
- The groups 𝐺 satisfying a functional equation 𝑓(𝑥𝑘) = 𝑥𝑓(𝑥) for some 𝑘 ∈ 𝐺
- On the 𝜎-nilpotent hypercenter of finite groups
- On ℳ-supplemented subgroups
- On the proper enhanced power graphs of finite nilpotent groups
- Two families of unravelled abstract regular polytopes in B𝑛
- Asymptotics of the powers in finite reductive groups
Articles in the same Issue
- Frontmatter
- On a family of representations of the Higman–Thompson groups
- Automatic continuity for groups whose torsion subgroups are small
- Property 𝑅∞ for some spherical and affine Artin–Tits groups
- The groups 𝐺 satisfying a functional equation 𝑓(𝑥𝑘) = 𝑥𝑓(𝑥) for some 𝑘 ∈ 𝐺
- On the 𝜎-nilpotent hypercenter of finite groups
- On ℳ-supplemented subgroups
- On the proper enhanced power graphs of finite nilpotent groups
- Two families of unravelled abstract regular polytopes in B𝑛
- Asymptotics of the powers in finite reductive groups
