Linear groups whose proper subgroups are close to being nilpotent.

The aim of this paper is to describe linear groups in which all proper subgroups belong to a group class X for several relevant choices of X. In particular, we study linear groups either with only nilpotent-by-finite proper subgroups or with only paranilpotent subgroups; here a group G is paranilpotent if it has a normal series of finite length whose factors are abelian and have only G-invariant subgroups. [ABSTRACT FROM AUTHOR]