Browsing Ph.D. Theses by Author "Coşkun, Olcay."

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Composition factors of the functor of the complex characters

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 ...
Simple section biset functors

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 ...
The fibered burnside ring of a fusion system

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 ...

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