Savochkina T. Group with normal normalizers of subgroups

We are investigating such clauses of the groups: primary groups with normal normalizers of all subgroups (?-groups); finite 2-groups from ?, which normalizers of subgroups have additions (?*-groups); variety ? all groups, with normal centralizers of all subgroups. We solved the problem of classification of 2-generator 2-groups with normal normalizers of all subgroups with exactly up to isomorphism. We received the classification of groups, generated by one element and two involutions, with noncentral commutant with exactly up to isomorphism.We have proved theorems about building of finite 2-groups which normalizers of all subgroups are normal and have additions. These groups, which are generated 4 elements, have described. We have proved that each group with normal normalizers and normal centralizers of all subgroups have central commutant. Free and critical groups of variety of 2-engel groups are described; new properties of lantice of subvarieties are founded.