  The study of the existence of free groups in skew linear groups have been
begun since the last decades of the 20-th century. The starting point is the
theorem of Tits (1972), now often is referred as Tits' Alternative, stating
that every finitely generated subgroup of the general linear group $\GL_n(F)$
over a field $F$ either contains a non-cyclic free subgroup or it is
solvable-by-finite. In this paper, we study the existence of non-cyclic free
subgroups in maximal subgroups of an almost subnormal subgroup of the general
skew linear group over a locally finite division ring.
