Archives and Documentation Center
Digital Archives

Browsing Matematik by Author "Coşkun, Olcay."

Browsing Matematik by Author "Coşkun, Olcay."

Sort by: Order: Results:

  • Sert, Gözde. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate endo-trivial modules and their classification endo trivial modules over p-groups. Endo-trivial modules were introduced by Dade [1] and appear naturally in moduler representation theory. Several ...
  • Küçük, Ebru Beyza. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    In this thesis, we determine complex irreducible representations of GL(2,K), the group of 2 by 2 invertible matrices over a finite field K. Actually, this is done by Ilya Piatetski-Shapiro in 1983. In his article [1], Shapiro ...
  • Arslan, Mehmet. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    When we consider CRC as a map sending any finite group G to the complex vector space CRC(G) of complex valued class functions on G, it becomes an A-fibered biset functor for any group A ≤ C×. Its structure is known for ...
  • Muslumov, Ruslan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, we investigate Green biset functors and clasi cation of sipmle modules over a Green biset functors in some special cases. Our aim is to see what conditions on the Green functor makes simple modules over it ...
  • Karakurt, Turan. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2018., 2018.)
    In this thesis, we investigate representations of GLp2,pqby using indecomposable projective modules for GLp2,pq. Actually, this is pure module theoretic approach in parallel with [1] since we do not refer any character ...
  • Balçık, Irmak. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2016., 2016.)
    Biset functors provides a uni ed approach to module theoretic operations on representations of nite groups. It is well-known that biset functors can be considered as modules over the Green biset functor of the Burnside ...
  • Yılmaz, Said. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    The purpose of this thesis to analyze the basic facts about projective characters of finite groups and compare them to the facts about ordinary characters of finite groups. We start with review of basic facts about the ...
  • Bilgin, Zehra. (Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2012., 2012.)
    Quotients of Hom-functors are functors of the form HomR(P;{u100000})=HomR(P;{u100000})J where P is a projective R-module and J is a certain ideal of the endomorphism ring of P. These functors were used by R. Dipper in the ...
  • Budak, Doğa Ulaş. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2021., 2021.)
    We first develop the necessary tools from the theory of G-algebras and endomorphism rings. Then the basic results of Green's theory of vertices and sources for kG-modules is given. Building on these, we retrace the steps ...
  • Türköz, Mustafa. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017., 2017.)
    In this thesis, we study two-dimensional finite singular point interactions and three-dimensional finite singular interactions supported by curves on a compact Riemannian manifold. Our aim is to show that finite rank perturbations ...
  • Muslumov, Ruslan. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2022., 2022)
    Let G and H be finite groups and k be a commutative unitary ring. The Burnside group B(G,H) is the Grothendieck group of the category of finite (G,H)-bisets. The biset category kC of finite groups is the category defined ...
  • Seviniş, Mert. (Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019., 2019.)
    J. S. Reeh, in his PhD thesis [1], described the Burnside ring and its free basis for the fusion-stable sets. In this thesis we will extend his results for fibered sets. Basically we will use the same technics J.S. Reeh ...
  • Yılmaz, Deniz. (Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015., 2015.)
    We nd the composition factors of the A- bered Burnside functor kBA of p- groups over a eld k of characteristic q with q 6= p. We show that if A is a cyclic p-group, then kBA is uniserial. Moreover, we also show that the ...

Search Digital Archive


Browse

My Account