FREE SUBGROUPS IN ALMOST SUBNORMAL SUBGROUPS OF GENERAL SKEW LINEAR GROUPS

摘要

Let D be a weakly locally finite division ring and n a positive integer. The problem under study concerns the existence of noncyclic free subgroups in noncentral almost subnormal subgroups of the general linear group GLn(D). Further, some applications are also investigated. In particular, all infinite finitely generated almost subnormal subgroups of GLn(D) are described.