| Titre : | Residually weakly primitive and locally two-transitive geometries for sporadic groups |
| Auteurs : | Dimitri Leemans |
| Type de document : | Books |
| Editeur : | Bruxelles : Académie Royale de Belgique, 2008 |
| Article en page(s) : | 173 |
| Collection : | Publication de la Classe des sciences, ISSN 0365-0952, num. in-4°, 3e série, Tome XI, n°2058 |
| ISBN/ISSN/EAN : | 978-2-8031-0253-2 |
| Langues: | Anglais |
| Index. décimale : | 516.5 |
| Tags : | Group theory ; Graph theory ; Geometry, Projective |
| Résumé : |
We describe a series of Magma programs used to compute all firm, residually connected geometries whose rank two residues satisfy the intersection property and on wich a sporadic group of order less than 898 million acts flag-transitively, residually weakly primitively and locally two-transitively. We then give the list of geometries obtained for the five Mathieu groups, the three Janko groups and the Higman-Sims group. We obtain 420 geometries. We also give the full subgroup lattices of M22, M23, J2 and J3. Finally, we give some results that were obtained by studying the lists of geometries we obtained. |
Exemplaires (1)
| Code-barres | Cote | Support | Localisation | Section | Disponibilité |
|---|---|---|---|---|---|
| 111607R | 516.5 LEE R | Book | Royal Military Academy | Bibliothèque ERM | Disponible |
