Browsing 2023 by MSC "55"
Now showing items 1-2 of 2
-
The Brown Complex in Non-Defining Characteristic and Applications
[OWP-2023-14] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-25)We study the Brown complex associated to the poset of $\ell$-subgroups in the case of a finite reductive group defined over a field $\mathbb{F}_q$ of characteristic prime to $\ell$. First, under suitable hypotheses, we ... -
The Simplicial Complex of Brauer Pairs of a Finite Reductive Group
[OWP-2023-12] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-17)In this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic case the homotopy type of this simplicial ...