On a Rank Five Geometry of Meixner for the Mathieu Group M12 |
| |
| Authors: | Dimitri Leemans |
| |
| Affiliation: | (1) Département de Mathématique, Université Libre de Bruxelles, CP216, Boulevard du Triomphe, B-1050 Brussels, Belgium |
| |
| Abstract: | We construct a rank five residually connected and firm geometry  on which the Mathieu group M12 acts flag-transitively and residually weakly primitively (RWPRI). The group M12 is the group of automorphisms of and Aut(M12) is the correlation group of , in particular is self-dual. The diagram of is the following. Moreover satisfies the conditions (IP)2 and (2T)1. As a corollary, we obtain that the (RWPRI+(IP)2)-rank of M12 is 5. |
| |
| Keywords: | Mathieu group incidence geometry |
| 本文献已被 SpringerLink 等数据库收录！ |
|
