On groups with many normal subgroups

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Language:
English
Published:
International Journal of Group Theory, Volume:14 Issue: 1, Mar 2025
Pages:
19 to 23
https://www.magiran.com/p2789241