Files in this item
Embeddings into Thompson's group V and coCF groups
Item metadata
dc.contributor.author | Bleak, Collin | |
dc.contributor.author | Matucci, Francesco | |
dc.contributor.author | Neunhöffer, Max | |
dc.date.accessioned | 2016-05-06T16:30:03Z | |
dc.date.available | 2016-05-06T16:30:03Z | |
dc.date.issued | 2016-10 | |
dc.identifier | 231626813 | |
dc.identifier | b0af84a7-a005-4393-b061-4d8d72b0b5dd | |
dc.identifier | 000386947900014 | |
dc.identifier | 84992736578 | |
dc.identifier.citation | Bleak , C , Matucci , F & Neunhöffer , M 2016 , ' Embeddings into Thompson's group V and coCF groups ' , Journal of the London Mathematical Society , vol. 94 , no. 2 , pp. 583-597 . https://doi.org/10.1112/jlms/jdw044 | en |
dc.identifier.issn | 0024-6107 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1312.1855v1 | |
dc.identifier.other | ORCID: /0000-0001-5790-1940/work/73701279 | |
dc.identifier.uri | https://hdl.handle.net/10023/8747 | |
dc.description.abstract | It is shown in Lehnert and Schweitzer (‘The co-word problem for the Higman–Thompson group is context-free’, Bull. London Math. Soc. 39 (2007) 235–241) that R. Thompson's group V is a cocontext-context-free (coCF) group, thus implying that all of its finitely generated subgroups are also coCF groups. Also, Lehnert shows in his thesis that V embeds inside the coCF group QAut(T2,c), which is a group of particular bijections on the vertices of an infinite binary 2-edge-coloured tree, and he conjectures that QAut(T2,c) is a universal coCF group. We show that QAut(T2,c) embeds into V, and thus obtain a new form for Lehnert's conjecture. Following up on these ideas, we begin work to build a representation theory into R. Thompson's group V. In particular, we classify precisely which Baumslag–Solitar groups embed into V. | |
dc.format.extent | 15 | |
dc.format.extent | 386658 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of the London Mathematical Society | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | Embeddings into Thompson's group V and coCF groups | en |
dc.type | Journal article | 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 | 10.1112/jlms/jdw044 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | http://arxiv.org/abs/1312.1855 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.