NON-CONNECTED REDUCTIVE LINEAR GROUPS WITH FREE ALGEBRA OF INVARIANTS

The investigation of quasicoregular and non-coregular connected reductive linear groups and their coregular finite expansions is the aim of the paper. As a result necessary and sufficient conditions of coregularity of a non-connected half-simple linear group have been obtained. All, with the exception of three, quasicoregular non-coregular simple linear groups and all their coregular expansions have been found. The paper results may find their field of application in the theory of invariants of linear algebraic groupsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio