Geodesic
Groups whose lattices of normal subgroups are~factorial
Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 239-253.

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that the groups $G$ for which the lattice of normal subgroups $\mathcal{N}(G)$ is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
Keywords: lattice of normal subgroups, semilattices, idempotent monoids, partial monoids. 
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     title = {Groups whose lattices of normal subgroups are~factorial},
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A. Rajhi. Groups whose lattices of normal subgroups are~factorial. Algebra and discrete mathematics, Tome 30 (2020) no. 2, pp. 239-253. http://geodesic.mathdoc.fr/item/ADM_2020_30_2_a7/

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