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Presentations of groups with even length relations

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dc.contributor.authorWebster, Isobel
dc.date.accessioned2021-08-25T10:30:02Z
dc.date.available2021-08-25T10:30:02Z
dc.date.issued2021-08-15
dc.identifier.citationWebster , I 2021 , ' Presentations of groups with even length relations ' , Communications in Algebra , vol. Latest Articles . https://doi.org/10.1080/00927872.2021.1955903en
dc.identifier.issn0092-7872
dc.identifier.otherPURE: 275052346
dc.identifier.otherPURE UUID: f925d5f0-97d9-4b6c-9111-64478225a940
dc.identifier.otherWOS: 000685038400001
dc.identifier.otherScopus: 85112521766
dc.identifier.urihttps://hdl.handle.net/10023/23833
dc.description.abstractWe study the properties of groups that have presentations in which the generating set is a fixed set of involutions and all additional relations are of even length. We consider the parabolic subgroups of such a group and show that every element has a factorization with respect to a given parabolic subgroup. Furthermore, we give a counterexample, using a cluster group presentation, which demonstrates that this factorization is not necessarily unique.
dc.format.extent8
dc.language.isoeng
dc.relation.ispartofCommunications in Algebraen
dc.rightsCopyright 2021 The Author(s). Published with license by Taylor and Francis Group, LLC. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.en
dc.subjectGroup presentationsen
dc.subjectReflection groupsen
dc.subjectCluster algebrasen
dc.subjectParabolic subgroupsen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titlePresentations of groups with even length relationsen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.identifier.doihttps://doi.org/10.1080/00927872.2021.1955903
dc.description.statusPeer revieweden


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