Now showing items 1-2 of 2

    • Characteristic bisets and local fusion subsystems 

      Tokmak, Mustafa Anıl (Bilkent University, 2018-09)
      Fusion systems are categories that contain the p-local structure of a finite group. Bisets are sets endowed with two coherent group actions. We investigate the relation between fusion systems and bisets in this thesis. Fusion ...
    • Constructions and simplicity of the Mathieu groups 

      Karakaş, Mete Han (Bilkent University, 2020-08)
      Of the 26 sporadic finite simple groups, 5 were discovered by E. Mathieu in 1861 and 1873 [1], [2]. These Mathieu groups are the focus of this thesis, where we will prove their simplicity using elementary methods. E. ...