Maróti, Attila and Skresanov, Saveliy V. (2023) Bounds for the Diameters of Orbital Graphs of Affine Groups. VIETNAM JOURNAL OF MATHEMATICS, 51. pp. 617-631. ISSN 2305-221X (print); 2305-2228 (online)
|
Text
s10013-023-00607-5.pdf Available under License Creative Commons Attribution. Download (333kB) | Preview |
Abstract
General bounds are presented for the diameters of orbital graphs of finite affine primitive permutation groups. For example, it is proved that the orbital diameter of a finite affine primitive permutation group with a nontrivial point stabilizer H ≤GL(V), where the vector space V has dimension d over the prime field, can be bounded in terms of d and log| V| / log| H| only. Several infinite families of affine primitive permutation groups with large orbital diameter are constructed. The results are independent from the classification of finite simple groups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Orbital graph, Diameter, Affine primitive permutation group |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 30 Jan 2024 08:00 |
| Last Modified: | 30 Jan 2024 08:00 |
| URI: | http://real.mtak.hu/id/eprint/186611 |
Actions (login required)
 |
Edit Item |
