Classification of flag-transitive Steiner quadruple systems
| dc.creator | Huber, Michael | |
| dc.date | 2004-01-12 | |
| dc.date.accessioned | 2026-07-07T05:04:29Z | |
| dc.date.available | 2026-07-07T05:04:29Z | |
| dc.description | A Steiner quadruple system of order v is a 3-(v,4,1) design, and will be denoted SQS(v). Using the classification of finite 2-transitive permutation groups all SQS(v) with a flag-transitive automorphism group are completely classified, thus solving the "still open and longstanding problem of classifying all flag-transitive 3-(v,k,1) designs" for the smallest value of k. Moreover, a generalization of a result of H. Lueneburg (1965, Math. Z. 89, 82-90) is achieved. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401117 | |
| dc.identifier | http://arxiv.org/abs/math/0401117 | |
| dc.identifier | Journal of Combinatorial Theory, Series A 94, 180-190 (2001) | |
| dc.identifier | doi:10.1006/jcta.2000.3141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69825 | |
| dc.subject | Combinatorics | |
| dc.subject | Group Theory | |
| dc.subject | Primary 51E10; Secondary 05B05, 20B25 | |
| dc.title | Classification of flag-transitive Steiner quadruple systems | |
| dc.type | text |