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/