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...

Fuld beskrivelse

Bibliografiske detaljer

Principais autores:	T. D. Lukashova, M. G. Drushlyak
Format:	Artigo
Sprog:	Alemão
Udgivet:	Ivan Franko National University of Lviv 2024-09-01
Serier:	Математичні Студії
Fag:	infinite locally finite group generalized norms of a group norm of abelian non-cyclic subgroups of a group locally nilpotent group
Online adgang:	http://matstud.org.ua/ojs/index.php/matstud/article/view/533
Tags:	Tilføj Tag Ingen Tags, Vær først til at tagge denne postø!