We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.
@article{bwmeta1.element.doi-10_2478_s11533-009-0022-7,
author = {B.A.F. Wehrfritz},
title = {The divisible radical of a group},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {387-394},
zbl = {1200.20025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0022-7}
}
B.A.F. Wehrfritz. The divisible radical of a group. Open Mathematics, Tome 7 (2009) pp. 387-394. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0022-7/
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