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Maximal normal subgroups of the automorphism groups of free nilpotent groups

dc.contributor.authorTolstykh, Vladimir A.en_US
dc.date.accessioned2020-06-02T11:41:21Z
dc.date.available2020-06-02T11:41:21Z
dc.date.issued2020en_US
dc.identifier.citationTolstykh, V. A. (2020). Maximal normal subgroups of the automorphism groups of free nilpotent groups. Publicationes Mathematicae-Debrecen, 96(3-4), 475-486. doi:10.5486/pmd.2020.8726en_US
dc.identifier.issn0033-3883
dc.identifier.urihttp://dx.doi.org/10.5486/pmd.2020.8726
dc.identifier.urihttps://hdl.handle.net/20.500.12294/2465
dc.description#nofulltext#en_US
dc.description.abstractWe prove that the subgroup of all IA-automorphisms of the automorphism group Aut(N) of a free nilpotent group N of infinite rank is normality-small. As a consequence, every maximal normal subgroup of the group Aut(N) is a lifting of a maximal normal subgroup of the automorphism group Aut(A) of the abelianization A = N/[N, N] of N.en_US
dc.language.isoengen_US
dc.publisherKossuth Lajos Tudomanyegyetemen_US
dc.relation.ispartofPublicationes Mathematicae-Debrecenen_US
dc.identifier.doi10.5486/pmd.2020.8726en_US
dc.identifier.doi10.5486/pmd.2020.8726
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFree Nilpotent Groupsen_US
dc.subjectAutomorphism Groupsen_US
dc.subjectMaximal Normal Subgroupsen_US
dc.titleMaximal normal subgroups of the automorphism groups of free nilpotent groupsen_US
dc.typearticleen_US
dc.departmentFen-Edebiyat Fakültesi, Matematik-Bilgisayar Bölümüen_US
dc.authorid0000-0002-7407-3865en_US
dc.identifier.volume96en_US
dc.identifier.issue3-4en_US
dc.identifier.startpage475en_US
dc.identifier.endpage486en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorTolstykh, Vladimir A.en_US


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