Title of article :
Groups with the real chain condition on non-pronormal subgroups
Author/Authors :
Dardano ، Ulderico Dipartimento di Matematica e Applicazioni “R.Caccioppoli” - Universit`a di Napoli “Federico II” , Mari ، Fausto De Università di Napoli “Federico II”
Abstract :
It is shown that a generalised radical group has no chain of non-pronormal subgroups with the same order type as the set R of the real numbers if and only if either the group is minimax or all subgroups are pronormal.
Keywords :
pronormal subgroup , minimax group , weak chain condition , deviation
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory