Group algebras whose unit group is locally nilpotent

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dc.contributor.authorVictor Bovdien
dc.contributor.authorБовді Вікторuk
dc.contributor.authorBódi Viktorhu
dc.date.accessioned2021-09-13T10:23:14Z
dc.date.available2021-09-13T10:23:14Z
dc.date.issued2020-05-07
dc.descriptionhttps://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/abs/group-algebras-whose-unit-group-is-locally-nilpotent/482C5F244EBD8211FAFC0A920468E758en
dc.description.abstractAbstract. We present a complete list of groups G and fields F for which: (i) the group of normalized units V(FG) of the group algebra FG is locally nilpotent; (ii) the set of nontrivial nilpotent elements of FG is finite and nonempty, and V(FG) is an Engel group.en
dc.description.sponsorshipThis work was supported by the UAEU UPAR Grant G00002160.en
dc.identifier.citationVictor Bovdi: Group algebras whose unit group is locally nilpotent. In Journal of the Australian Mathematical Society. 2020. Volume 109., Issue 1. pp. 17-23.en
dc.identifier.issn1446-7887 (Print)
dc.identifier.issn1446-8107 (Online)
dc.identifier.otherDOI: https://doi.org/10.1017/S1446788719000557
dc.identifier.urihttps://dspace.kme.org.ua/handle/123456789/1307
dc.language.isoenen
dc.publisherCambridge University Pressen
dc.relation.ispartofseries;Volume 109., Issue 1.
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectunit groupen
dc.subjectgroup algebraen
dc.subjectlocally nilpotent groupen
dc.subjectEngel groupen
dc.subjectegységcsoporthu
dc.subjectcsoportalgebrahu
dc.subjectlokálisan nilpotens csoporthu
dc.subjectEngel csoporthu
dc.titleGroup algebras whose unit group is locally nilpotenten
dc.typedc.type.researchArticleen

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Victor Bovdi: Group algebras whose unit group is locally nilpotent. In Journal of the Australian Mathematical Society. 2020. Volume 109., Issue 1. pp. 17-23.
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Bódi Viktor