Groups with separating subgroups relative to the system of non-cyclic subgroups. (Ukrainian. English summary) Zbl 0977.20032
Summary: Periodic local graded groups \(G\) are described in which non-cyclic subgroups are normal when they are not contained in some subgroup of \(G\).
MSC:
| 20F50 | Periodic groups; locally finite groups |
| 20E25 | Local properties of groups |
| 20E07 | Subgroup theorems; subgroup growth |
| 20E15 | Chains and lattices of subgroups, subnormal subgroups |
