Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank

Maria De Falco, Francesco de Giovanni, and Carmela Musella. "Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank." Colloquium Mathematicae 131.2 (2013): 233-239. <http://eudml.org/doc/284208>.

@article{MariaDeFalco2013,
abstract = {It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.},
author = {Maria De Falco, Francesco de Giovanni, Carmela Musella},
journal = {Colloquium Mathematicae},
keywords = {conjugacy classes of subgroups; groups of finite rank; subgroups of infinite rank; locally soluble groups},
language = {eng},
number = {2},
pages = {233-239},
title = {Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank},
url = {http://eudml.org/doc/284208},
volume = {131},
year = {2013},
}

TY - JOUR
AU - Maria De Falco
AU - Francesco de Giovanni
AU - Carmela Musella
TI - Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank
JO - Colloquium Mathematicae
PY - 2013
VL - 131
IS - 2
SP - 233
EP - 239
AB - It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
LA - eng
KW - conjugacy classes of subgroups; groups of finite rank; subgroups of infinite rank; locally soluble groups
UR - http://eudml.org/doc/284208
ER -