Onur, Cansu Betin

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Profile URL
https://hdl.handle.net/20.500.14411/7832
Name Variants
O.,Cansu Betin
Onur,C.B.
O., Cansu Betin
C.,Onur
Onur, Cansu Betin
C., Onur
Cansu Betin, Onur
C.B.Onur
Betin, Cansu
Job Title
Doktor Öğretim Üyesi
Email Address
cansu.betin@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
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Scholarly Output

6

Articles

4

Views / Downloads

4/12

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

4

Scopus Citation Count

5

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0

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0

WoS Citations per Publication

0.67

Scopus Citations per Publication

0.83

Open Access Source

2

Supervised Theses

1

JournalCount
15th Intl Conf on Dependable, Autonomic and Secure Computing, 15th Intl Conf on Pervasive Intelligence and Computing, 3rd Intl Conf on Big Data Intelligence and Computing and Cyber Science and Technology Congress(DASC/PiCom/DataCom/CyberSciTech) -- NOV 06-10, 2017 -- IEEE Tech Comm on Scalable Comp, Orlando, FL1
Communications in Algebra1
Open Mathematics1
Turkish Journal of Mathematics1
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  • Thumbnail Image
    Article
    On Strongly Autinertial Groups
    (Tubitak Scientific & Technological Research Council Turkey, 2018) Onur, Cansu Betin; Betin Onur, Cansu
    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.