Advisors

Now showing items 1-11 of 11

    • Chain maps between Gruenberg resolutions 

      Fidan, Müge (Bilkent University, 2018-07)
      Let G be a finite group. For a given presentation of G = hF|Ri, Gruenberg gives a construction of a projective resolution for Z as a ZG-module. This resolution, which is called Gruenberg resolution, only depends on the ...

    • Cohomology of infinite groups realizing fusion systems 

      Gündoğan, Muhammed Said (Bilkent University, 2019-09)
      Given a fusion system F defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize F. We study these models when F is a fusion system of a finite group G. If ...

    • Cohomology of semidirect products 

      Tekin, Ayşegül (Bilkent University, 2012)

    • Essential cohomology and relative cohomology of finite groups 

      Aksu, Fatma Altunbulak (Bilkent University, 2009)
      In this thesis, we study mod-p essential cohomology of finite p-groups. One of the most important problems on essential cohomology of finite p-groups is finding a group theoretic characterization of p-groups whose essential ...

    • The extension class of a subset complex 

      Güçlükan, Aslı (Bilkent University, 2006)

    • Free actions on product of spheres at high dimensions 

      Okutan, Osman Berat (Bilkent University, 2012)

    • Homotopy colimits and decompositions of function complexes 

      Çakar, Adnan Cihan (Bilkent University, 2016-07)
      Given a functor F : C→ GSp, the homotopy colimit hocolimCF is defined as the diagonal space of simplicial replacement of F. Let G be a finite group and F be a family of subgroups of G, the classifying space EFG can be taken ...

    • The lattice of periods of a group action and its topology 

      Acan, Hüseyin (Bilkent University, 2006)
      In this thesis, we study the topology of the poset obtained by removing the greatest and least elements of lattice of periods of a group action. For a G-set X where G is a finite group, the lattice of periods is defined ...

    • Lζ -modules and a theorem of Jon Carlson 

      Altunbulak, Fatma (Bilkent University, 2004)
      In this thesis, we study Lζ -modules, and using some exact sequences involving Lζ -modules, we give an alternative proof to a theorem by Jon Carlson which says that any ZG-module is a direct summand of a module which has ...

    • Obstructions for constructing g-equivariant fibrations 

      Güçlükan, Aslı (Bilkent University, 2011)

    • Projective resolutions over EI-categories 

      Bahran, Cihan (Bilkent University, 2012)
      Representations of EI-categories occur naturally in algebraic K-theory and algebraic topology (see [4], [10], [12]). In this thesis, we study EI-category representations with finite projective dimension. We apply this ...