Overgroups of regular unipotent elements in reductive groups
- We study reductive subgroups \(\it H\) of a reductive linear algebraic group \(\it G\) – possibly nonconnected – such that \(\it H\) contains a regular unipotent element of \(\it G\). We show that under suitable hypotheses, such subgroups are \(\it G\)-irreducible in the sense of Serre. This generalises results of Malle, Testerman and Zalesski. We obtain analogous results for Lie algebras and for finite groups of Lie type. Our proofs are short, conceptual and uniform.
| Author: | Michael BateORCiDGND, Benjamin MartinORCiDGND, Gerhard RöhrleORCiDGND |
|---|---|
| URN: | urn:nbn:de:hbz:294-88368 |
| DOI: | https://doi.org/10.1017/fms.2021.82 |
| Parent Title (English): | Forum of Mathematics, Sigma |
| Publisher: | Cambridge University Press |
| Place of publication: | Cambridge |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2022/04/21 |
| Date of first Publication: | 2022/02/24 |
| Publishing Institution: | Ruhr-Universität Bochum, Universitätsbibliothek |
| Volume: | 10 |
| Issue: | Article e13 |
| First Page: | e13-1 |
| Last Page: | e13-13 |
| Dewey Decimal Classification: | Naturwissenschaften und Mathematik / Mathematik |
| open_access (DINI-Set): | open_access |
| faculties: | Fakultät für Mathematik |
| Licence (English): |  Creative Commons - CC BY 4.0 - Attribution 4.0 International |
