On a class of lattice subgroup functors.
From the summary: ``In the paper, continuum-many natural transitive lattice subgroup functors corresponding to no hereditary lattice formation are constructed on the class of all finite groups. This result is an answer to Question 15.39 in `The Kourovka notebook', which was posed by the author and A. F. Vasil'ev in connection with their theorem claiming that, on the class of all solvable groups, all functors of this kind correspond to hereditary local lattice formations.'' The lattice subgroup functors in question interpolate between the \(\mathfrak F\)-subnormal subgroups and Kegel \(\mathfrak F\)-subnormal subgroups, both with respect to a hereditary lattice formation \(\mathfrak F\).
natural transitive lattice semigroup functors
scientific article; zbMATH DE number 5980780
scientific article