Groups with the real chain condition on non-pronormal subgroups

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.

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Bibliographic Details
Main Authors: Ulderico Dardano, Fausto De Mari
Format: Article
Language:English
Published: University of Isfahan 2023-10-01
Series:International Journal of Group Theory
Subjects:
Online Access:https://ijgt.ui.ac.ir/article_27920_f9bcd0187933e3d13e2492aefcef140e.pdf
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