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Some embeddings between symmetric R. Thompson groups
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dc.contributor.author | Aroca, Julio | |
dc.contributor.author | Bleak, Collin | |
dc.date.accessioned | 2022-06-06T23:46:59Z | |
dc.date.available | 2022-06-06T23:46:59Z | |
dc.date.issued | 2021-12-07 | |
dc.identifier | 267832350 | |
dc.identifier | 4cad5d5e-639f-49dc-948a-7c36d160cb29 | |
dc.identifier | 000727533600001 | |
dc.identifier | 85121034983 | |
dc.identifier.citation | Aroca , J & Bleak , C 2021 , ' Some embeddings between symmetric R. Thompson groups ' , Proceedings of the Edinburgh Mathematical Society , vol. FirstView . https://doi.org/10.1017/S001309152100047X | en |
dc.identifier.issn | 0013-0915 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/2001.10771v2 | |
dc.identifier.other | ORCID: /0000-0001-5790-1940/work/104618899 | |
dc.identifier.uri | https://hdl.handle.net/10023/25493 | |
dc.description | Funding: The first author wants to acknowledge financial support from the Spanish Ministry of Economy and Competitiveness, through the “Severo Ochoa Program for Centres of Excellence in R&D” (SEV-2015-0554). The second author wishes to acknowledge support from EPSRC grant EP/R032866/1 during the creation of this paper. | en |
dc.description.abstract | Let m ≤ n ∈ ℕ, and G ≤ Sym(m) and H ≤ Sym(n). In this article we find conditions enabling embeddings between the symmetric R. Thompson groups Vm(G) and Vn(H). When n ≡1 mod (m −1), and under some other technical conditions, we find an embedding of Vn(H) into Vm(G) via topological conjugation. With the same modular condition we also generalise a purely algebraic construction of Birget from 2019 to find a group H ≤ Sym(n) and an embedding of Vm(G) into Vn(H). | |
dc.format.extent | 18 | |
dc.format.extent | 323856 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the Edinburgh Mathematical Society | en |
dc.subject | R Thompson groups | en |
dc.subject | Embeddings | en |
dc.subject | Topological conjugacy | en |
dc.subject | FSS Groups | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Some embeddings between symmetric R. Thompson groups | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1017/S001309152100047X | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2022-06-07 | |
dc.identifier.grantnumber | EP/R032866/1 | en |
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