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A bound for the orders of centralizers of irreducible subgroups of algebraic groups
| File | Description | Size | Format | |
|---|---|---|---|---|
 10.1515_jgth-2022-0111.pdf | Published version | 159.15 kB | Adobe PDF | View/Open |
| Title: | A bound for the orders of centralizers of irreducible subgroups of algebraic groups |
| Authors: | Liebeck, M |
| Item Type: | Journal Article |
| Abstract: | We prove that if šŗ is a connected semisimple algebraic group of rank š, and š» is a subgroup of šŗ that is contained in no proper parabolic subgroup, then we have |CG(H)|<cr|Z(G)| , where š is an absolute constant ( c=16 if all simple factors of šŗ are classical, and cā¤197 in general). |
| Issue Date: | 7-Dec-2022 |
| Date of Acceptance: | 19-Oct-2022 |
| URI: | http://hdl.handle.net/10044/1/101097 |
| DOI: | 10.1515/jgth-2022-0111 |
| ISSN: | 1433-5883 |
| Publisher: | De Gruyter |
| Start Page: | 795 |
| End Page: | 801 |
| Journal / Book Title: | Journal of Group Theory |
| Volume: | 26 |
| Issue: | 4 |
| Copyright Statement: | Open Access. Ā© 2023 the author(s), published by De Gruyter. This work is licensed under the Creative Commons Attribution 4.0 International License |
| Publication Status: | Published |
| Online Publication Date: | 2022-12-07 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |
This item is licensed under a Creative Commons License
