Fischer subspaces of Hermitian manifolds |
| |
Authors: | Gisèle De Meur |
| |
Affiliation: | (1) Departement de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P.216 Bd. du Triomphe, B-1050 Bruxelles |
| |
Abstract: | The finite groups generated by 3-transpositions, studied by B.Fischer [5]have a geometrical interpretation given by F.Buekenhout [1] under the name of Fischer spaces.This geometrical concept allows us to study the Fischer subgroups of primitive groups classified by Fischer, and in particular those of unitary groups PSU(n,4), symplectic groups PSp(n,2), orthogonal groups PO(n,2) and symmetric groups Sym(n).This problem is linked to the determination of groups of projectivities generated by clations in characteristic 2 studied by Wagner [9] and McLaughlin[8], and is related to Kantor's work [7] on classical groups generated by long root elements, and to Enright's recent note on Fi22 and Fi23 [5]. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|