INTERMEDIATE SUBGROUPS, CONTAINING A SPLIT TORUS, IN A COMPLETE LINEAR GROUP OF THE DEGREE 2 OVER A LOCAL NUMERICAL FIELD

A grid of subgroups in a complete linear group of the degree 2 over a lical numerical field, subgroups containing a non-branched torus, is investigated in the paper aiming at the obtaining of the description of a grid of subgroups in a complete linear group of the degree 2 over a local numerical field, subgroups containing a non-branched torus. A a result all intermediate subgroups have been described. All strings of the grid indicated have been enumerated and described. The polynormality of a non-branched torus has been proved. All results are the new results. The paper results may find their field of application in investigations of the theory of linear groupsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio