Odribets' S. Amalgamated unions of lattices and lattices of normal subgroups in wreath products

To describe the normal subgroups lattices of wreath products we introduce some new concepts and posets constructions: amalgamated union and fibered product of posets, rigid homomorphism of lattices families and lattice transformation determined by such rigid homomorphism. It is shown, that a normal subgroups lattices of wreath products of groups realized as amalgamated union of some sublattices. In turn, components parts, considered as separate lattices, admit similar representation as amalgamated union of smaller pieces etc. In thesis normal subgroups lattices of Sylow subgroups of symmetric groups and classical linear groups above finite fields with characteristic which are different from p also are completely described when they are represented as a wreath product of cyclic groups.