Properties of covers in the lattice of group topologies for nilpotent groups
The author constructs a nilpotent group and group topologies \(\mathcal T_1\) and \(\mathcal T_2\) on it such that between \(\mathcal T_1\) and \(\inf\{\mathcal T_1,\mathcal T_2\}\) there exists a chain of group topologies isomorphic to \(\mathbb Z\) as an ordered set. Related results on lattices of group topologies on a nilpotent group have been obtained in [the author, Bul. Acad. Ştiinţe Repub. Mold., Mat. 2010, No. 2(63), 3--19 (2010; Zbl 1204.22001)].
scientific article; zbMATH DE number 6251556