“On the Loewy structure of the rational representations of a p-group as Mackey functors”










Abstract: Let k be a field of characteristic p>0, and let G be a p-group of order p^n. We will give some results about the Loewy structure of the rational representation functor R_k^G which is regarded as a Mackey functor for G over k. For instance, we will show that its Loewy length is greater than or equal to 2n+1, and the simple functor S_{1,k} parametrized by the trivial subgroup of G appears in the n^th radical layer of it. Assuming further that G is abelian, we will obtain quite complete results about the simple functors appearing in the radical layers of R_k^G.








Date : April 8, 2009 (Wednesday)

Time : 13:40-14:30

Place: Room SAZ01