For a finite group G, let 𝜎(G) be least cardinality of a collection of proper subgroups whose set-theoretical union is all of G. We study the structure of groups G containing no normal non-trivial subgroup N such that 𝜎(G/N) = 𝜎(G).
@article{1510, title = {On the Structure of Primitive n-Sum Groups}, journal = {CUBO, A Mathematical Journal}, volume = {10}, year = {2008}, language = {en}, url = {http://dml.mathdoc.fr/item/1510} }
Detomi, Eloisa; Lucchini, Andrea. On the Structure of Primitive 𝓃-Sum Groups. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1510/