  We study relatively minimal subgroups in topological groups. We find, in
particular, some natural relatively minimal subgroups in unipotent groups which
are defined over "good" rings. By "good" rings we mean archimedean absolute
valued (not necessarily associative) division rings. Some of the classical
rings which we consider besides the field of reals are the ring of quaternions
and the ring of octonions. This way we generalize in part a previous result
which was obtained by Dikranjan and Megrelishvili and involved the Heisenberg
group.
