Stucture of periodic met-Abelian meta-Hamiltonian groups with elementary commutant of rank 2
A natural and rather significant generalization of Hamiltonian groups, which were studied as early as in the beginning of this century, are meta-Hamiltonian groups, i.e., groups in which every non-Abelian subgroup is invariant. A complete description is given of periodic met-Abelian meta-Hamiltonian groups \(G=H\times C\) with elementary commutant of rank 2 for which the subgroup H contains no Miller-Moreno subgroups that are complemented in it. It turns out that there exist four types of such groups.
periodic met-Abelian meta-Hamiltonian groups
scientific article; zbMATH DE number 4173243
scientific article