Finite <i>A</i>-groups with complementable nonmetacyclic subgroups

Abstract

We study groups G, satisfying the following conditions:
1)G — is a finite soluble group with nontrivial prime-power metacyclic second commutator subgroup;
2)all Sylow subgroups of G are elementary Abelian.
We describe the structure of these groups with complemented nonmetacyclic subgroup.