University of Isfahan International Journal of Group Theory 2251-7650 14 1 2023 10 24 Groups with the real chain condition on non-pronormal subgroups 9 18 27920 10.22108/ijgt.2023.138453.1858 EN Ulderico Dardano Dipartimento di Matematica e Applicazioni “R.Caccioppoli”, Università di Napoli “Federico II”, Via Cintia - Monte S. Angelo, I-80126 Napoli, Italy Fausto De Mari Università di Napoli “Federico II”, I-80126 Napoli, Italy Journal Article 2023 07 19 It is shown that a generalised radical group has no chain of non-pronormal subgroups with the same order type as the set $\mathbb{R}$ of the real numbers if and only if either the group is minimax or all subgroups are pronormal. pronormal subgroup minimax group weak chain condition Deviation https://ijgt.ui.ac.ir/article_27920_f9bcd0187933e3d13e2492aefcef140e.pdf