Geodesic
Some lattice properties of normal-by-finite subgroups
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 763-771

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A subgroup $H$ of a group $G$ is said to be normal-by-finite if the core $H_{G}$ of $H$ in $G$ has finite index in $H$. It has been proved by Buckley, Lennox, Neumann, Smith and Wiegold that if every subgroup of a group G is normal-by-finite, then $G$ is abelian-by-finite, provided that all its periodic homomorphic images are locally finite. The aim of this article is to describe the structure of groups G for which the partially ordered set $\text{nf}(G)$ consisting of all normal-by-finite subgroups satisfies certain relevant properties. 
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     author = {De Falco, Maria and Musella, Carmela},
     title = {Some lattice properties of normal-by-finite subgroups},
     journal = {Bollettino della Unione matematica italiana},
     pages = {763--771},
     publisher = {mathdoc},
     volume = {Ser. 8, 6B},
     number = {3},
     year = {2003},
     zbl = {1119.20031},
     mrnumber = {MR2014832},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a17/}
}
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De Falco, Maria; Musella, Carmela. Some lattice properties of normal-by-finite subgroups. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 763-771. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a17/