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Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non-cyclic $p$-subgroups for a unique prime $p$. I...

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Bibliografische Detailangaben
Hauptverfasser: T. D. Lukashova, M. G. Drushlyak
Format: Artigo
Sprache:Alemão
Veröffentlicht: Ivan Franko National University of Lviv 2024-09-01
Schriftenreihe:Математичні Студії
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Online-Zugang:http://matstud.org.ua/ojs/index.php/matstud/article/view/533
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