par Vanden Cruyce, Patricia
Référence European journal of combinatorics, 6, 2, page (163-173)
Publication Publié, 1985
Article révisé par les pairs
Résumé : We construct and investigate geometries related to the simple group PSL(2, 19): they all arise from the Perkel graph whose vertices are the 57 subgroups of one of the two conjugacy classes of subgroups A5 in PSL(2, 19), two vertices being adjacent whenever the intersection of the corresponding subgroups contains a group of order 5. We get in particular another view on two rank 4 thin geometries obtained recently by H. M. S. Coxeter and A. I. Weiss. © 1985, Academic Press Inc. (London) Limited. All rights reserved.