We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.
@article{urn:eudml:doc:41407,
title = {Solvable groups with many BFC-subgroups.},
journal = {Publicacions Matem\`atiques},
volume = {44},
year = {2000},
pages = {491-501},
mrnumber = {MR1800820},
zbl = {0978.20016},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41407}
}
Artemovych, O. D. Solvable groups with many BFC-subgroups.. Publicacions Matemàtiques, Tome 44 (2000) pp. 491-501. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41407/