Construction of finite groups amalgams and geometries. Geometries of the group U4(2) |
| |
Authors: | E. A. Komissartschik S. V. Tsaranov |
| |
Affiliation: | Institute for System Studies Academy of Sciences of the USSR , 9, Prospekt 60-Let, Oktyabria, Moscow, 11731, USSR |
| |
Abstract: | The paper describes methods of constructing of residually connected and flag-transitive geometries and corresponding presentations cf finite groups. The methods are illustrated on the finite simple group U4(2). As a result all residually connected and flag-transitive geometries of the group U4(2) with maximsl subgroups as the stabilizers of geometries' elements (exclsding rank 4 geometries with a trivial Borel subgroup) were described. USing these geometries several "natural" presentations of the group U4(2) were obtained. |
| |
Keywords: | |
|
|