Structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup
Copyright policy )Structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup
Metahamiltonian groups, i.e., groups in which each nonabelian subgroup is invariant, are a natural generalization of Hamiltonian groups. The present article describes the structure of periodic metabelian metahamiltonian groups with a nonelementary commutator subgroup. It turns out that there exist four types of such groups.
generalization of Hamiltonian groups, General structure theorems for groups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Periodic groups; locally finite groups, periodic metabelian metahamiltonian groups
generalization of Hamiltonian groups, General structure theorems for groups, Solvable groups, supersolvable groups, Chains and lattices of subgroups, subnormal subgroups, Periodic groups; locally finite groups, periodic metabelian metahamiltonian groups
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