Shchegolev, Alexander: Overgroups of elementary block-diagonal subgroups in even unitary groups over quasi-finite rings. 2015
Inhalt
- Introduction
- Notations
- Standard sandwich classification for symplectic subsystems in symplectic subgroups
- Preliminaries
- Form net associated with a subgroup and the description of the transporter
- Extraction of transvections in parabolic subgroups
- Extraction of transvections using a long root element
- Sandwich classification in symplectic groups: general case
- Standard setting
- Extraction of transvections
- At the level of the Jacobson radical
- Over a local ring
- Localization
- Sandwich classification in Unitary groups
- Preliminaries
- Unitary form nets of ideals and related objects
- Standard setting
- Extraction of elementary matrices
- At the level of the Jacobson radical
- Scaling, form ring morphisms, direct products and direct limits
- Unitary groups over semisimple Artinian rings
- Sandwich classification over division rings
- Radical reduction
- Localization
- Bibliography