On groups with many normal subgroups
نویسندگان
1 Dipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”, Viale Lincoln 5, I-81100 Caserta, Italy
2 Dipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”, Viale Lincoln 5, I-81100 Caserta, Italy
doi
10.22108/ijgt.2023.138553.1864چکیده
The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition, then either G is a minimax group or all its subgroups are normal.
