Santos Rego, Yuri: Finiteness properties of split extensions of linear groups. 2019
Inhalt
- Introduction
- Background and preliminaries
- Matrices and classical groups
- The general linear group and elementary matrices
- Unitriangular groups and some commutator calculus
- Chevalley–Demazure group schemes
- S-arithmetic groups
- Basics on the finiteness length
- The retraction tool
- Finite presentability of Herbert Abels' groups
- Presentations of parabolic subgroups
- Structure of parabolics, and the extended Levi factor
- Proof of Theorem 4.2
- Special cases: simply-laced, and S-arithmetic
- Concluding remarks, and future directions
- Bibliography
- List of symbols
- Index