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Chain maps between Gruenberg resolutions
(Bilkent University, 201808)Let G be a finite group. For a given presentation of G = hFRi, Gruenberg gives a construction of a projective resolution for Z as a ZGmodule. This resolution, which is called Gruenberg resolution, only depends on the ... 
Cohomology of infinite groups realizing fusion systems
(Bilkent University, 201909)Given a fusion system F defined on a pgroup 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
(Bilkent University, 2012) 
Essential cohomology and relative cohomology of finite groups
(Bilkent University, 2009)In this thesis, we study modp essential cohomology of finite pgroups. One of the most important problems on essential cohomology of finite pgroups is finding a group theoretic characterization of pgroups whose essential ... 
The extension class of a subset complex
(Bilkent University, 2006) 
Free actions on product of spheres at high dimensions
(Bilkent University, 2012) 
Homotopy colimits and decompositions of function complexes
(Bilkent University, 201607)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
(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 Gset X where G is a finite group, the lattice of periods is defined ... 
Lζ modules and a theorem of Jon Carlson
(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 ZGmodule is a direct summand of a module which has ... 
Obstructions for constructing gequivariant fibrations
(Bilkent University, 2011) 
Projective resolutions over EIcategories
(Bilkent University, 2012)Representations of EIcategories occur naturally in algebraic Ktheory and algebraic topology (see [4], [10], [12]). In this thesis, we study EIcategory representations with finite projective dimension. We apply this ...