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.
GROUPS WITH THE REAL CHAIN CONDITION ON NON-PRONORMAL SUBGROUPS / Dardano, U., DE MARI, F.. - In: INTERNATIONAL JOURNAL OF GROUP THEORY. - ISSN 2251-7650. - 14:1(2025), pp. 9-18. [10.22108/ijgt.2023.138453.1858]
GROUPS WITH THE REAL CHAIN CONDITION ON NON-PRONORMAL SUBGROUPS
Dardano U.
;DE MARI F.
2025
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.File in questo prodotto:
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