Browsing 1 - Oberwolfach Preprints (OWP) by Subject "Group Theory"

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Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements

[OWP-2017-14] Hoge, Torsten; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-30)

Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger ...
The Subgroup Structure of Pseudo-Reductive Groups

[OWP-2024-08] Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Sercombe, Damian (Mathematisches Forschungsinstitut Oberwolfach, 2024-07-31)

Let $k$ be a field. We investigate the relationship between subgroups of a pseudo-reductive $k$ -group $G$ and its maximal reductive quotient $G'$ , with applications to the subgroup structure of $G$ . Let $k'/k$ be the minimal ...