Об одном классе бесконечномерных линейных групп конечной линейной ширины

Abstract

The definition of the linear width of a linear group is introduced. This definition is an analogy of the BFC-number of a group. The infinite locally finite infinite dimensional linear groups of finite linear width are investigated. It is proved that these groups contain an Abelian subgroup of finite index that has finite central (fundamental) dimension.