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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.identifier275052346
dc.identifierf925d5f0-97d9-4b6c-9111-64478225a940
dc.identifier000685038400001
dc.identifier85112521766
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.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.format.extent1255884
dc.language.isoeng
dc.relation.ispartofCommunications in Algebraen
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.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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