Some embeddings between symmetric R. Thompson groups
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).
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
Publication
Proceedings of the Edinburgh Mathematical Society
Status
Peer reviewed
ISSN
0013-0915Type
Journal article
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.Collections
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