On Strongly Autinertial Groups

dc.authorid Onur, Cansu Betin/0000-0002-3691-1469
dc.authorscopusid 57561890900
dc.authorwosid Onur, Cansu Betin/AAY-5136-2020
dc.contributor.author Onur, Cansu Betin
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:30:07Z
dc.date.available 2024-07-05T15:30:07Z
dc.date.issued 2018
dc.department Atılım University en_US
dc.department-temp ATILIM ÜNİVERSİTESİ en_US
dc.description Onur, Cansu Betin/0000-0002-3691-1469 en_US
dc.description.abstract A subgroup X of G is said to be inert under automorphisms (autinert) if |X : $X^\\alpha$ ∩ X| is finite for allα ∈ Aut(G) and it is called strongly autinert if | < X, $X^\\alpha$ >: X| is finite for all α ∈ Aut(G). A group is calledstrongly autinertial if all subgroups are strongly autinert. In this article, the strongly autinertial groups are studied. Wecharacterize such groups for a finitely generated case. Namely, we prove that a finitely generated group G is stronglyautinertial if and only if one of the following hold:i) G is finite;ii) G = ⟨a⟩ ⋉ F where F is a finite subgroup of G and ⟨a⟩ is a torsion-free subgroup of G.Moreover, in the preliminary part, we give basic results on strongly autinert subgroups. en_US
dc.identifier.citationcount 3
dc.identifier.doi 10.3906/mat-1706-42
dc.identifier.endpage 1365 en_US
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85046763311
dc.identifier.scopusquality Q2
dc.identifier.startpage 1361 en_US
dc.identifier.trdizinid 348801
dc.identifier.uri https://doi.org/10.3906/mat-1706-42
dc.identifier.uri https://search.trdizin.gov.tr/tr/yayin/detay/348801/on-strongly-autinertial-groups
dc.identifier.volume 42 en_US
dc.identifier.wos WOS:000439014600049
dc.identifier.wosquality Q2
dc.institutionauthor Onur, Cansu Betin
dc.language.iso en en_US
dc.publisher Tubitak Scientific & Technological Research Council Turkey en_US
dc.relation.ispartof Turkish Journal of Mathematics en_US
dc.relation.publicationcategory Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 0
dc.title On Strongly Autinertial Groups en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
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