Geodesic
Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group
Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 443-449

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DOI

The Chermak–Delgado lattice of a finite group G is a self-dual sublattice of the subgroup lattice of G. In this paper, we prove that, for any finite abelian group A, there exists a finite group G such that the Chermak–Delgado lattice of G is a subgroup lattice of A.
DOI : 10.4153/S0008439522000418
Mots-clés : Chermak–Delgado lattice, subgroup lattice, finite p-groups 
An, Lijian. Groups whose Chermak–Delgado lattice is a subgroup lattice of an abelian group. Canadian mathematical bulletin, Tome 66 (2023) no. 2, pp. 443-449. doi: 10.4153/S0008439522000418
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     author = {An, Lijian},
     title = {Groups whose {Chermak{\textendash}Delgado} lattice is a subgroup lattice of an abelian group},
     journal = {Canadian mathematical bulletin},
     pages = {443--449},
     year = {2023},
     volume = {66},
     number = {2},
     doi = {10.4153/S0008439522000418},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000418/}
}
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