dc.contributor.author | Szymik, Markus | |
dc.contributor.author | Wahl, Nathalie | |
dc.date.accessioned | 2019-12-02T15:32:17Z | |
dc.date.available | 2019-12-02T15:32:17Z | |
dc.date.created | 2019-09-16T15:00:32Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0020-9910 | |
dc.identifier.uri | http://hdl.handle.net/11250/2631324 | |
dc.description.abstract | We prove that Thompson’s group \mathrm {V} is acyclic, answering a 1992 question of Brown in the positive. More generally, we identify the homology of the Higman–Thompson groups \mathrm {V}_{n,r} with the homology of the zeroth component of the infinite loop space of the mod n-1 Moore spectrum. As \mathrm {V}=\mathrm {V}_{2,1}, we can deduce that this group is acyclic. Our proof involves establishing homological stability with respect to r, as well as a computation of the algebraic K-theory of the category of finitely generated free Cantor algebras of any type n. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | Springer Verlag | nb_NO |
dc.title | The homology of the Higman–Thompson groups | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | nb_NO |
dc.source.journal | Inventiones Mathematicae | nb_NO |
dc.identifier.doi | 10.1007/s00222-018-00848-z | |
dc.identifier.cristin | 1725244 | |
dc.relation.project | Norges forskningsråd: 250399 | nb_NO |
dc.description.localcode | This is a post-peer-review, pre-copyedit version of an article published in [Inventiones Mathematicae] Locked until 4.1.2020 due to copyright restrictions. The final authenticated version is available online at: https://doi.org/10.1007/s00222-018-00848-z | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |