Atalan, Ferihe

Profile Picture
Profile URL
https://hdl.handle.net/20.500.14411/6711
Name Variants
Ozan, Ferihe Atalan
Ferihe Atalan
Atalan,F.
Atalan,Ferihe
Ferihe, Atalan
A., Ferihe
A.,Ferihe
Atalan, Ferihe
F.,Atalan
Atalan F.
F., Atalan
Job Title
Profesör Doktor
Email Address
ferihe.atalan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Website
ORCID ID
0000-0001-6547-0570
Scopus Author ID
50123456789
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

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Scholarly Output

18

Articles

14

Views / Downloads

68/421

Supervised MSc Theses

4

Supervised PhD Theses

0

WoS Citation Count

31

Scopus Citation Count

30

WoS h-index

4

Scopus h-index

4

Patents

0

Projects

1

WoS Citations per Publication

1.72

Scopus Citations per Publication

1.67

Open Access Source

8

Supervised Theses

4

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JournalCount
Turkish Journal of Mathematics3
Rocky Mountain Journal of Mathematics2
Glasgow Mathematical Journal1
Groups, Geometry, and Dynamics1
International Journal of Algebra and Computation1
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2010 - 20173
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End date: 2019Subject: Mapping class group

Scholarly Output Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - WoS: 5
    Citation - Scopus: 4
    Number of Pseudo-Anosov Elements in the Mapping Class Group of a Four-Holed Sphere
    (Tubitak Scientific & Technological Research Council Turkey, 2010) Atalan, Ferihe; Korkmaz, Mustafa
    We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity
  • Thumbnail Image
    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Automorphisms of the mapping class group of a nonorientable surface
    (Springer, 2017) Atalan, Ferihe; Szepietowski, Blazej
    Let S be a nonorientable surface of genus g >= 5 with n >= 0 punctures, and Mod(S) its mapping class group. We define the complexity of S to be the maximum rank of a free abelian subgroup of Mod(S). Suppose that S-1 and S-2 are two such surfaces of the same complexity. We prove that every isomorphism Mod(S-1) -> Mod(S-2) is induced by a diffeomorphism S-1 -> S-2. This is an analogue of Ivanov's theorem on automorphisms of the mapping class groups of an orientable surface, and also an extension and improvement of the first author's previous result.
  • Thumbnail Image
    Article
    Citation - WoS: 12
    Citation - Scopus: 12
    Automorphisms of Curve Complexes on Nonorientable Surfaces
    (European Mathematical Soc, 2014) Atalan, Ferihe; Korkmaz, Mustafa
    For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.