MATH Semineri: “Simple section biset functors”, Ruslan Muslumov, 11:00 2 Kasım (EN)

You are cordially invited to the Algebra Seminar organized by the Department of Mathematics.

Speaker: Ruslan Muslumov (ADA University)

“Simple section biset functors”

Abstract: For a commutative and unitary ring k, a biset functor over k is a k-linear functor on the biset category, whose objects are finite groups and whose morphism sets are given by the Grothendieck groups B(G,H) of finite (G,H)-bisets. The remarkable results as the evaluation of the Dade group of endopermutation modules of a p-group and finding the unit group of the Burnside ring of a p-group are done using the theory of biset functors. Looking for ring objects in the category of biset functors one gets a more sophisticated structure which is called a Green biset functor. Serge Bouc introduced the slice Burnside ring and the section Burnside ring for a finite group G. He also showed that these two rings have a natural structure of a Green biset functor. In our work we classified simple modules over the section Burnside ring of G using the approach of the fibered biset functors article by Robert Boltje and Olcay Coşkun.

Date: Wednesday, November 2, 2022
Time: 11:00 – 12:00

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