Groups with the real chain condition on non-pronormal subgroups

Dardano, Ulderico; De Mari, Fausto

doi:10.22108/ijgt.2023.138453.1858

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	Groups with the real chain condition on non-pronormal subgroups
International Journal of Group Theory
دوره 14، شماره 1، خرداد 2025، صفحه 9-18 اصل مقاله (415.55 K)
نوع مقاله: Ischia Group Theory 2022
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.138453.1858
نویسندگان
Ulderico Dardano^* ¹؛ Fausto De Mari²
¹Dipartimento di Matematica e Applicazioni “R.Caccioppoli”, Università di Napoli “Federico II”, Via Cintia - Monte S. Angelo, I-80126 Napoli, Italy
²Università di Napoli “Federico II”, I-80126 Napoli, Italy
چکیده
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.
کلیدواژه‌ها
Pronormal subgroup؛ minimax group؛ weak chain condition؛ deviation

مراجع
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Groups with the real chain condition on non-pronormal subgroups