“The radical series of the Burnside functor as biset and related functors”
ABSTRACT: The Burnside functor B over a field K assigns to each finite group G a K-module B(G), and connects these modules via induction, restriction, inflation, deflation maps, satisfying several axioms, including the Mackey formula. We mainly consider B on the class of all finite p-groups.
When the characteristic of the field K is different from p, the subfunctor structure of B as a biset functor is known. In this talk we mention some results about the subfunctor structure of B when the characteristic of K is p, giving the subfunctor structure of B as a biset functor on the class of all cyclic p-groups, which turns out to be completely different from the known case. We also mention some problems about B as a deflation and as a global Mackey functor.
Date : November 26, 2008 (Wednesday)
Time : 14.40 – 15:30