Shestakov S. S.
Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1393–1398
We present the structure of a locally compact solvablep-group satisfying the weak minimality (maximality) condition for noncompact subgroups. As a consequence, we obtain the structure of a locally compact prosolvablep-group satisfying the minimality (maximality) condition for noncompact sub-groups. We also construct an example to demonstrate that these results are not true for arbitrary inductively compact locally compact totally disconnected solvable groups.
Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 1108–1111