Pseudocyclic association schemes arising from the actions of PGL(2,2^m) and PΓL(2,2^m)
| dc.creator | Hollmann, Henk D. L. | |
| dc.creator | Xiang, Qing | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:25Z | |
| dc.date.available | 2026-07-07T05:18:25Z | |
| dc.description | The action of $PGL(2,2^m)$ on the set of exterior lines to a nonsingular conic in $PG(2,2^m)$ affords an association scheme, which was shown to be pseudocyclic in Hollmann's thesis in 1982. It was further conjectured in Hollmann's thesis that the orbital scheme of $PΓL(2,2^m)$ on the set of exterior lines to a nonsingular conic in $PG(2,2^m)$ is also pseudocyclic if $m$ is an odd prime. We confirm this conjecture in this paper. As a by-product, we obtain a class of Latin square type strongly regular graphs on nonprime-power number of points. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503570 | |
| dc.identifier | http://arxiv.org/abs/math/0503570 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74657 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E30 | |
| dc.title | Pseudocyclic association schemes arising from the actions of PGL(2,2^m) and PΓL(2,2^m) | |
| dc.type | text |