We introduce and study the lattice of normal subgroups of a group G that determine solitary quotients. It is closely connected to the well-known lattice of solitary subgroups of G, see [Kaplan G., Levy D., Solitary subgroups, Comm. Algebra, 2009, 37(6), 1873–1883]. A precise description of this lattice is given for some particular classes of finite groups.
@article{bwmeta1.element.doi-10_2478_s11533-012-0003-0,
author = {Marius T\u arn\u auceanu},
title = {Solitary quotients of finite groups},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {740-747},
zbl = {1257.20024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0003-0}
}
Marius Tărnăuceanu. Solitary quotients of finite groups. Open Mathematics, Tome 10 (2012) pp. 740-747. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0003-0/
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