Advisors
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Characteristic bisets and local fusion subsystems
(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
(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. ...