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dc.contributor.author
Paris, Luis
dc.contributor.author
Soergel, Mireille
dc.date.accessioned
2024-02-13T12:17:33Z
dc.date.available
2023-10-30T14:21:50Z
dc.date.available
2023-10-30T14:57:16Z
dc.date.available
2024-02-13T12:17:33Z
dc.date.issued
2023-12
dc.identifier.issn
0024-6093
dc.identifier.issn
1469-2120
dc.identifier.other
10.1112/blms.12902
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/639333
dc.identifier.doi
10.3929/ethz-b-000639333
dc.description.abstract
One can observe that Coxeter groups and right-angled Artin groups share the same solution to the word problem. On the other hand, in his study of reflection subgroups of Coxeter groups, Dyer introduces a family of groups, which we call Dyer groups, which contains both, Coxeter groups and right-angled Artin groups. We show that all Dyer groups have this solution to the word problem, we show that a group which admits such a solution belongs to a little more general family of groups that we call quasi-Dyer groups, and we show that this inclusion is strict. Then we show several results on parabolic subgroups in quasi-Dyer groups and in Dyer groups. Notably, we prove that any intersection of parabolic subgroups in a Dyer group of finite type is a parabolic subgroup.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Wiley
en_US
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.title
Word problem and parabolic subgroups in Dyer groups
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
dc.date.published
2023-08-24
ethz.journal.title
Bulletin of the London Mathematical Society
ethz.journal.volume
55
en_US
ethz.journal.issue
6
en_US
ethz.journal.abbreviated
Bull. Lond. Math. Soc.
ethz.pages.start
2928
en_US
ethz.pages.end
2947
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03491 - Burger, Marc / Burger, Marc
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03491 - Burger, Marc / Burger, Marc
en_US
ethz.date.deposited
2023-10-30T14:21:50Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2024-02-13T12:17:34Z
ethz.rosetta.lastUpdated
2024-02-13T12:17:34Z
ethz.rosetta.versionExported
true
ethz.COinS
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