Geodesic
Groups whose lattices of normal subgroups are distributive
Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 183-188

Voir la notice de l'article provenant de la source Cambridge University Press

Various authors deal with distributive sublattices of the lattice L(G) of subgroups of a group G. Perhaps the most basic result in this direction is due to O. Ore [9]: L(G) is distributive if and only if G is locally cyclic.In [11] and [12] finite groups with distributive lattices of subnormal subgroups were considered, while [3], [4], [7], [8], [10] and [13] deal with the case of groups G whose lattice N(G) of normal subgroups is distributive. Such groups were called DLN-groups in [10]. 
Brandl, Rolf. Groups whose lattices of normal subgroups are distributive. Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 183-188. doi: 10.1017/S0017089500007710
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