dc.creator | Bleak | |
dc.creator | Collin; Matucci | |
dc.creator | Francesco; Neunhoffer | |
dc.creator | Max | |
dc.date | 2016 | |
dc.date | out | |
dc.date | 2017-11-13T11:33:24Z | |
dc.date | 2017-11-13T11:33:24Z | |
dc.date.accessioned | 2018-03-29T05:47:52Z | |
dc.date.available | 2018-03-29T05:47:52Z | |
dc.identifier | Journal Of The London Mathematical Society-second Series. Oxford Univ Press , v. 94, p. 583 - 597, 2016. | |
dc.identifier | 0024-6107 | |
dc.identifier | 1469-7750 | |
dc.identifier | WOS:000386947900014 | |
dc.identifier | 10.1112/jlms/jdw044 | |
dc.identifier | https://academic.oup.com/jlms/article/94/2/583/2218859/Embeddings-into-Thompson-s-group-V-and-coCF-groups | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/326261 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1363267 | |
dc.description | 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 co-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(T-2,T- c), which is a group of particular bijections on the vertices of an infinite binary 2-edge-coloured tree, and he conjectures that QAut(T-2,T- c) is a universal coCF group. We show that QAut(T-2,T- 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.description | 94 | |
dc.description | 583 | |
dc.description | 597 | |
dc.description | Fondation Mathematique Jacques Hadamard [ANR-10-CAMP-0151-02 FMJH] | |
dc.language | English | |
dc.publisher | Oxford Univ Press | |
dc.publisher | Oxford | |
dc.relation | Journal of the London Mathematical Society-Second Series | |
dc.rights | fechado | |
dc.source | WOS | |
dc.title | Embeddings Into Thompson's Group V And Cocf Groups | |
dc.type | Artículos de revistas | |